Fariel Mohan created a virtual classroom to motivate students to share their thoughts at their convenience. Students are experts users of maths since they are living everyday
Wednesday, November 11, 2009
Triangles
All triangles consists of 3 lengths and 3 angles.
What are the 2 types of triangles? For each type state the properties or rules that can be applies. Illustrate with examples
the properties of a right angled triangle are it contains an hyp, opposite and adjacent, hyp being the longest side. to fine the angles or sides of the triangle, you can use the sin, cos or tan ratios.(soh cah toa)
two types of triangles are right angles and non-right angle triangles. a right angle triangle as the word says contains a right angle and a non-right angle has no right angle.in a right angle triangle we can use pythogaras' theorem to find out the value one side once the other two sides are known.
triangles must add up to 180 degrees. the 2 types are right angles and non right angles. the right angle triangle must have a ninety degree angle and the other two must add up to ninety to make up 180.
the right angle triangle uses pythagoras' theorem and the non right angle must be evaluated before an actual rule can be determined for solving problems
the area of both triangles can be found by using the formula 1/2 ab sinC where a and b are lengths of two sides and C is the angle formed where these lengths meet
for example: if a triangle is right-angled, and it contains an adjacent side and an opposite side(ie.side opposite the angle),of known values, you can use pythagoras' theorem to find the hyp. or if you wanted to find the angle, you could use the ratio tan multiplied by the unknown angle (tata)=opp/adj. just substitute the values and solve.
there are two types of triangles. (1) right angled triangles (2) non right angle trangles
properties of "right angle triangles" a right angle triangle one of the angle is always 90degrees.and sides an be found using phythagoras' theorm while the oher angle can be foung using the ratio.
in the "non right angle triange" the three angle will vary ang to find the sides or the angles the sine or cosine rule can be used. the sine rule can be used when given either (1) two angle and one side (2) two sides and a non-included angle the cosine rule can be used when given either (1) the three sides (2) two sides and the included angle
Right Angled and Non-Right Angled triangles they are the two types of triangles an wit right angle triangles u can use the pythagoras therom and for none right angle triangles u can use sine rule an cosine rule
the two types of triangles are right angled and non right angled triangles for right angle triangles use pythagoras therom and non right angle the sin and cosine rule would apply
the properties of a right angled triangle is that it contains an hypotenuse, opposite, and adjacent,the hypotenuse being the longest side. to fine the angles or sides of a right angle triangle, you can use the soh cah toa (sin tata=opp/hyp, cos tata=adj/hyp, tan tata=opp/adj)or you can use pythagoras theorem. For the non right angled triangles you can use either the sin or cosine rule to find sides and angles. the sin rule is ued when you ave two sides and an angle (NOTE:the angle not formed between the two sides(SSA)) or two angles and a side (NOTE:side not found between the two angles(AAS)), and the cosine rule is used when you have three sides and no angles (SSS) or two sides and an angle (NOTE: not the same as sine rule, the angle is found in between the two sides (SAS)).
A right angle triangle is a triangle with a right angle (i.e. 90°). there are 3 sides: hyp,opp and adj. the hyp is the longest side,sin,cos or tan could be used to find wanted sides of the triangle.
An acute triangle is a triangle whose angles are all acute (i.e. less than 90°). Example: A triangle has angles 46º, 63º and 71º. What type of triangle is this?
Answer: Since all its angles are less than 90°, it is an acute triangle.
right angle triangles uses pythagoras' theorem i.e. In a right angle triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides
The sine rule: a/Sine A = b/Sine B = c/Sine C NB. a is the side opposit angle A b is the side opposit angle B c is the side opposit angle C You can use the sine rule when: 1. Two angles and any given side 2. Two sides and and angle not between them are given
the two kinds of triangles are;right angle and non-right angle triangles....for the right angle triangle pythagoras theorem can be used to solve the lenghts of the each side ...sin,cos and tan ratios can be used to find both the lenghts of each side and their angles where they meet.....a right angle triangle obviously has a right angle/ 90 degree angle....
as for the non-right angle triangle it has no 90 degree angle/right angle....its sides and the angle they produce when they meet can be solve using either the sine rule or the cosine rule....
a right angle trinagle has a angle which is 90 degrees it has two other angles the sum of the angles must be equal to 180 degrees. the angles and lenghts of the sides can be determine by using the sine ratio, cosine ratio and tangent ratio. you can also use pythagoras' theorem to solve.
the 2 types of triangles are right angle and non-right angle triangles.for a right angle triangle u can use pythageras theorm and with the non-right angle triangle we use the cosine and sine rule.
THE TWO TYPES OF TRIANGLE ARE THE RIGHT ANGLE WHICH CONSIST OF A RIGHT ANGLE AND THE NON RIGHT ANGLE TRIANGLE BUT A NON RIGHT ANGLE TRIANGLE CAN BE CONTAIN A RIGHT ANGLE TRIANGLE
to add to "freakazoid" at the NON-RIGHT ANGLED TRIANGLES RULE: SINE RULE:sina/sinA=sinb/sinB=sinc/sinC COSINE RULE:a=b^2+c^2-2bcCosA :b=a^2+c^2-2acCosB :c=a^2+b^2-2abCosC can you all check my review answers back. i took this out of my head. it's what i can remember. thanks
sine and cosine rule can be used can be used on any type of triangles but an easy way to remember is..as there is no right angle there is no hypotenuse, hence a different formula is needed....
Two types of triangles are an equilateral triangle and a scalene triangle. An equilateral triangle has all of its sides equal each of angle 60 degrees adding up to 180 degrees. A scalene triangle has not of its sides equal but add up to 180 degrees. These triangles use the cosine and sine rule....
two types of triangles are right angled triangles and non right angled triangles. right angle triangles (which can be isosceles right angled or scalene right angled): a right angled triangle has one 90deg angle
in the "non right angle triange" the three angle will vary ang to find the sides or the angles the sine or cosine rule can be used.
if you know all three sides: use the law of cosines and plug in the values for the sides a, b, and c. solve for angle a. use the angle value with the law of sines to find angle b. use the sum of the angles with the two angles to find angle c.
if you know two sides and the angle between them: use the law of cosines and plug in the values for the sides b, c, and the angle a. solve for side a. use the angle value with the law of sines to find angle b. use the sum of the angles with the two angles to find angle c.
if you know two angles and any side: use the sum of the angles with the two angles to find the third angle. use the law of sines and plug in the values for the two angles and the side. solve for the side. use the law of sines with an angle, the side opposite it, and the angle opposite the side you still don't know to find that side.
two types of triangles are the equilateral and isosceles triangle. in the isosceles triangle 2 sides and angles are equal and in the equilateral triangle all sides and angles are equal.
The side opposite to the right angle is the hypotenuse; it is the longest side in the right triangle. The other two sides are the legs of the triangle (adjacent/ opposite). Right triangles obey the Pythagorean theorem: the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse: a2 + b2 = c2, where a and b are the lengths of the legs and c is the length of the hypotenuse. Special right triangles are right triangles with additional properties that make calculations involving them easier.
two types of triangles are right angle triangles or a triangle with a 90degree angle and non right angle triangle or triangles without 90degree angles.
Rules for Right Angle Triangles - The sum of the the two side/smaller squares when formed on a right angle triangle equals to the longest side square known as the hypotenus.It follows the phythagoras theorem or rule.
Non Right angle triangles -Uses the cos,sin or sine,cosine rule where both angle and distance can be found, it allows more flexibility than right angle triangles
two type of triangles are right angle triangles and equilateral triangles. they both have 3 sides the equilateral has 3 equal sides and 3 equal angles. the right angle triangle has three sides one long sides and two other sides with a right angle and 2 other angles.
num(4)the two kinds of triangles are;right angle and non-right angle triangles....for the right angle triangle pythagoras theorem can be used to solve the lenghts of the each side ...sin,cos and tan ratios can be used to find both the lenghts of each side and their angles where they meet.....a right angle triangle obviously has a right angle/ 90 degree angle....
the right angle triangle has a 90 degrees angle while the non right angle triangle dont have 90 degrees but has angles an sides are found using the sine and cosine rule
for a triangle to be a right angle angled trianle it MUST consist of an internal angle measuring 90 degrees. the other two internal angles can be of any magnitude provided the are positive and add up to another 90 degrees eg 45+45 or 30+60 or 27+63 etc.
any triangle that does have the properties of a right angled triangle is a non right angled triangle. the 3 internal angles can be of any magnitude except 90 but they must be positive and add up to 180 degrees eg 20+60+100 or 45+55+80 or 23+87+70.
The side opposite to the right angle is the hypotenuse; it is the longest side in the right triangle. The other two sides are the legs of the triangle (adjacent/ opposite)
two types of triangles are right angle triangles and non- right angle triangles(which include all other triangles that are not right angled ie. Acute and Obtuse triangles)
Right Angle Triangles A right triangle is a triangle with a right angle (i.e. 90°).
You may have noticed from your experience with right angle triangles in mumz maths class that the side opposite the right angle is always the triangle's longest side. It is called the hypotenuse of the triangle. The other two sides are called the legs. The lengths of the sides of a right triangle are related by the Pythagorean Theorem ie. a^2 = b^2 + c^2. lengths and angles can also be found in right angle triangles using the following equation - sin @= opp/hpy - tan @= opp/adj - cos @= adj/hpy
Non-Right Angle Triangles Any triangles other than right angle triangles are considered to be non-right angle triangles.
finding either lengths or angles on these triangles can be found by using either of the following methods: - sine rule ie. a/sinA = b/sinB = c/sinC - cosine rule 1e. a^2 = b^2 + c^2 - 2(b)(c)cosA
Hey there are some bloggers who have the sine rule WRONG!!!!!!! you guys have: sina/sinA = sinb/sinB = sinc/sinC it is soooooooooo wrong to do this...since you will be finding the sine of a length(sina) which is not possible since you can only find the sine of an angle. absolutely fantastic, "grapes"@@@@@@@@, Shotta 4 ever, Happy_hour, and precious check your comments sweeties.... :)
The Obtuse Triangle has an obtuse angle (an obtuse angle has more than 90°).Since the total degrees in any triangle is 180°, an obtuse triangle can only have one angle that measures more than 90°.
the area of both triangles can be found by using the formula 1/2 ab sinC where a and b are lengths of two sides and C is the angle formed where these lengths meet
At first i was thinking along the lines of Scalene, Isoceles and Equilateral...but i realised the context was Rigth angular an d Non-Right angular Triangles.
A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ABC.
right angle triangles and non- right angle triangles. for right angle triangles, the following applies. sin=opp/hyp. this applies when you have a right angled triangle, and need to find either the unknown angle or an unknown side. such "side" can only include the hypotenuse (side opposite the right angle) or the opposite side to the angle given that is not right the right angle.
if the angle is not given, cross multiply the formula to find it.
cos=adj/hyp. this is used to find either the adjacent side.....adjacent here relative to the angle given that is not the right angle..... Or it can be used to find the hypotenuse.
If the angle is not give, and needs to be found....this formula can be used to solve for it....given the both sides required to do so is given
tan=opp/adj. this can be used to find the opposite side, speaking in terms of the angle given, or the adjacent side, also speaking in terms of the angle given. if the angle needs to be found, use this same formula to find it by cross-multiplying.
for a right angle triangle, Pythagoras' theorem is also applicable. this is basically states h^2= x^2 + y^2 where h is the hypotenuse x is any other side and y is the remaining side. this is used primarily to find lengths and not angles like in the rules listed above.
in non right angled triangles, the following rule is applicable. a^2=b^2 + c^2 - 2bc Cos A. this is called the cosine rule, where a is the unknown side that needs to be found, b and c are known lengths on the triangle,and A is the angle given.
when the triangle is labeled, its vertexes are in capitals. for example triangle ABC or triangle XYZ. the sides are labeled in the common letter of the opposite vertex. for example, in triangle ABC, the side opposite vertex A will be called a, instead of AB, etc.
for non right angle triangles the following rule is applicable. a/Sin A = b/Sin B = c/Sin C this is called the sine rule. where the numerator is a side/length on the given triangle, and the denominator is the respective angle. it can be used to find an angle, given two lengths. it can be used to find a length given 2 angles. cross multiply and solve.
to find the area of a non- right angled triangle use the formula b*h/2. where b is the base of the triangle where h is the perpendicular height of the triangle.
Why not allow our creator, Jesus, to show His love? Make Him your best friend by telling him the things you tell your best friend. When Jesus is part of your everyday life, well you are on top of the world. The best things will happen and the trials will be testing but the best for you will prevail.
This comment has been removed by the author.
ReplyDeleteThis comment has been removed by the author.
ReplyDeletethe 2 types of triangles are the right angled and non right angled triangles.
ReplyDeletethe properties of a right angled triangle are it contains an hyp, opposite and adjacent, hyp being the longest side. to fine the angles or sides of the triangle, you can use the sin, cos or tan ratios.(soh cah toa)
ReplyDeletefor the non right angled triangles, you can use the sin or cosine rule, to find sides and angles.
ReplyDeletefor the right angled triangles you can also use pythagoras' theorem to sole sides.
ReplyDeletetwo types of triangles are right angles and non-right angle triangles. a right angle triangle as the word says contains a right angle and a non-right angle has no right angle.in a right angle triangle we can use pythogaras' theorem to find out the value one side once the other two sides are known.
ReplyDeletetriangles must add up to 180 degrees. the 2 types are right angles and non right angles. the right angle triangle must have a ninety degree angle and the other two must add up to ninety to make up 180.
ReplyDeletethe right angle triangle uses pythagoras' theorem and the non right angle must be evaluated before an actual rule can be determined for solving problems
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteright angle triangles can also use sohcahtoa
ReplyDelete2 types of triangles are the equilateral and isosceles triangle
ReplyDeletein a equilateral triangle all 3 sides and angles are equal with the value of each angle being 60 degrees
ReplyDeletein an isosceles triangle 2 sides and angles are equal
ReplyDeletethe area of both triangles can be found by using the formula 1/2 ab sinC where a and b are lengths of two sides and C is the angle formed where these lengths meet
ReplyDeletefor example:
ReplyDeleteif a triangle is right-angled, and it contains an adjacent side and an opposite side(ie.side opposite the angle),of known values, you can use pythagoras' theorem to find the hyp.
or if you wanted to find the angle, you could use the ratio tan multiplied by the unknown angle (tata)=opp/adj. just substitute the values and solve.
there are two types of triangles.
ReplyDelete(1) right angled triangles
(2) non right angle trangles
properties of "right angle triangles"
a right angle triangle one of the angle is always 90degrees.and sides an be found using phythagoras' theorm while the oher angle can be foung using the ratio.
in the "non right angle triange"
the three angle will vary ang to find the sides or the angles the sine or cosine rule can be used. the sine rule can be used when given either (1) two angle and one side
(2) two sides and a non-included angle
the cosine rule can be used when given either
(1) the three sides
(2) two sides and the included angle
**Starr**,
ReplyDeleteAlthough you are right that there is the equilateral and the isosceles triangle, wouldn't that also mean that we have to count the scalene as a type?
Since we are asked about two types, maybe we should divide them where there are two and only two groups: Right Angled and Non-Right Angled
Right Angled and Non-Right Angled triangles they are the two types of triangles an wit right angle triangles u can use the pythagoras therom and for none right angle triangles u can use sine rule an cosine rule
ReplyDeletethe two types of triangles are right angled and non right angled triangles
ReplyDeletefor right angle triangles use pythagoras therom and non right angle the sin and cosine rule would apply
the two types of triangles are right angle triangle and nonright angle triangle right angle are governed by sin cos tan
ReplyDeletetwo types of triangles are the right angled and the non-right angled triangles
ReplyDeletethe properties of a right angled triangle is that it contains an hypotenuse, opposite, and
ReplyDeleteadjacent,the hypotenuse being the longest side. to fine the angles or sides of a right angle triangle, you can use the soh cah toa (sin tata=opp/hyp, cos tata=adj/hyp, tan tata=opp/adj)or you can use pythagoras theorem. For the non right angled triangles you can use either the sin or cosine rule to find sides and angles. the sin rule is ued when you ave two sides and an angle (NOTE:the angle not formed between the two sides(SSA)) or two angles and a side (NOTE:side not found between the two angles(AAS)), and the cosine rule is used when you have three sides and no angles (SSS) or two sides and an angle (NOTE: not the same as sine rule, the angle is found in between the two sides (SAS)).
Two types of triangles is (1.)a right angle triangle and (2.)an acute triangle.
ReplyDeleteA right angle triangle is a triangle with a right angle (i.e. 90°). there are 3 sides: hyp,opp and adj. the hyp is the longest side,sin,cos or tan could be used to find wanted sides of the triangle.
ReplyDeleteExample: A right triangle has one other angle that is 35º. What is the size of the third angle?
ReplyDeleteSolution:
Step 1:A right triangle has one angle = 90°. Sum of known angles is 90° + 35º = 125°.
Step 2:The sum of all the angles in any triangle is 180º. Subtract sum of known angles from 180°. 180° – 125° = 55°
Answer:The size of the third angle is 55°
An acute triangle is a triangle whose angles are all acute (i.e. less than 90°). Example: A triangle has angles 46º, 63º and 71º. What type of triangle is this?
ReplyDeleteAnswer: Since all its angles are less than 90°, it is an acute triangle.
Two types of triangles are:
ReplyDeletescalene
isosceles
scalene- two equal angles
isosceles-no sides are equal
two types of triangles are:
ReplyDeleteright angle triangle and
non right angle triangle
right angle triangles uses pythagoras' theorem
ReplyDeletei.e. In a right angle triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides
a^2 = b^2 + c^2
The sine rule: a/Sine A = b/Sine B = c/Sine C
ReplyDeleteNB. a is the side opposit angle A
b is the side opposit angle B
c is the side opposit angle C
You can use the sine rule when:
1. Two angles and any given side
2. Two sides and and angle not between them are
given
The cosine rule: a^2 = b^2 + c^2 - 2bc Cos A
ReplyDeleteYou can use the cosine rule when:
1. Two sides and included angle is given
2. Three sides are given
2 types of triangles are right angled and non right angled triangles.
ReplyDeleteThe rule which applies to right angled triangles is where you use Pythagoras' theorem to find the lengths of the sides either using sin, cos, tan.
ReplyDeleteThe rule which applies to non-right angled triangles is using either the cosine or sine rule to determine the lengths.
ReplyDeleteQuestion- how do you know where to apply the sin or cosine rule???
ReplyDeletetwo types of triangles in right angles an non-right angles
ReplyDelete2 types of triangles are right angled and non right angled triangles.
ReplyDeleteThis comment has been removed by the author.
ReplyDeletethe two kinds of triangles are;right angle and non-right angle triangles....for the right angle triangle pythagoras theorem can be used to solve the lenghts of the each side ...sin,cos and tan ratios can be used to find both the lenghts of each side and their angles where they meet.....a right angle triangle obviously has a right angle/ 90 degree angle....
ReplyDeleteas for the non-right angle triangle it has no 90 degree angle/right angle....its sides and the angle they produce when they meet can be solve using either the sine rule or the cosine rule....
ReplyDeletea right angle trinagle has a angle which is 90 degrees it has two other angles the sum of the angles must be equal to 180 degrees. the angles and lenghts of the sides can be determine by using the sine ratio, cosine ratio and tangent ratio. you can also use pythagoras' theorem to solve.
ReplyDeletein a non- right angle trinagle you dont have an angle benig of 90 degrees but the angles and sides are found using the cosine rule and sine rule
ReplyDeletePurple Rain, what about equilateral? If you go with classing the triangles like that you'll leave out that type.
ReplyDeleteThis comment has been removed by the author.
ReplyDeletethe 2 types of triangles are right angle and non-right angle triangles.for a right angle triangle u can use pythageras theorm and with the non-right angle triangle we use the cosine and sine rule.
ReplyDeleteTHE TWO TYPES OF TRIANGLE ARE THE RIGHT ANGLE WHICH CONSIST OF A RIGHT ANGLE AND THE NON RIGHT ANGLE TRIANGLE BUT A NON RIGHT ANGLE TRIANGLE CAN BE CONTAIN A RIGHT ANGLE TRIANGLE
ReplyDeleteWhen taking about lenght of sides and angles there are:
ReplyDeleteThe right angle triangle
- pythagorus theorum
- sin @= opp/hpy
- tan @= opp/adj
- cos @= adj/hpy
NOn right angle triangles
= sine rule
= cosine rule(2 sides and included angle)
to add to "freakazoid" at the NON-RIGHT ANGLED TRIANGLES RULE:
ReplyDeleteSINE RULE:sina/sinA=sinb/sinB=sinc/sinC
COSINE RULE:a=b^2+c^2-2bcCosA
:b=a^2+c^2-2acCosB
:c=a^2+b^2-2abCosC
can you all check my review answers back. i took this out of my head. it's what i can remember. thanks
A NON RIGHT ANGLE TRIANGLE PYTHAGROAS THEROM, TAN,COS AND SIN MAY APPLY AND IN A NON RIGHTANGLE TIRANGLE THE SINE AND COSINE RULE MAY APPLY
ReplyDeletethere are right angles triangles and non right angles triangles.
ReplyDeleteright anges triangles cos, sin, tan and pythgaroas therom are used.
ReplyDeletefor non right angle triangles cosine and sine rule is used.
ReplyDeletesine and cosine rule can be used can be used on any type of triangles but an easy way to remember is..as there is no right angle there is no hypotenuse, hence a different formula is needed....
ReplyDeleteTwo types of triangles are an equilateral triangle and a scalene triangle. An equilateral triangle has all of its sides equal each of angle 60 degrees adding up to 180 degrees. A scalene triangle has not of its sides equal but add up to 180 degrees. These triangles use the cosine and sine rule....
ReplyDeletetwo types of triangles are right angled triangles and non right angled triangles.
ReplyDeleteright angle triangles (which can be isosceles right angled or scalene right angled):
a right angled triangle has one 90deg angle
in the "non right angle triange"
the three angle will vary ang to find the sides or the angles the sine or cosine rule can be used.
if you know all three sides: use the law of cosines and plug in the values for the sides a, b, and c. solve for angle a. use the angle value with the law of sines to find angle b. use the sum of the angles with the two angles to find angle c.
if you know two sides and the angle between them:
use the law of cosines and plug in the values for the sides b, c, and the angle a. solve for side a. use the angle value with the law of sines to find angle b. use the sum of the angles with the two angles to find angle c.
if you know two angles and any side:
use the sum of the angles with the two angles to find the third angle. use the law of sines and plug in the values for the two angles and the side. solve for the side. use the law of sines with an angle, the side opposite it, and the angle opposite the side you still don't know to find that side.
The two types of triangles are:-
ReplyDelete-right angles
-non-right angle triangles.
A right angle triangle (well contains a right angle) and a non-right angle has no right angle.
two types of triangles are the equilateral and isosceles triangle. in the isosceles triangle 2 sides and angles are equal and in the equilateral triangle all sides and angles are equal.
ReplyDeleteIN RIGHT ANGLE TRIANGLES:
ReplyDeleteThe side opposite to the right angle is the hypotenuse; it is the longest side in the right triangle. The other two sides are the legs of the triangle (adjacent/ opposite). Right triangles obey the Pythagorean theorem: the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse: a2 + b2 = c2, where a and b are the lengths of the legs and c is the length of the hypotenuse. Special right triangles are right triangles with additional properties that make calculations involving them easier.
For non-right angle triangles the cosine and sine rule is used
ReplyDeleteSine rule:
sina/sinA=sinb/sinB=sinc/sinC
Cosine rule:
a=b^2+c^2-2bcCosA
b=a^2+c^2-2acCosB
c=a^2+b^2-2abCosC
two types of triangles are right angle triangles or a triangle with a 90degree angle and non right angle triangle or triangles without 90degree angles.
ReplyDeleteWhat are the 2 types of triangles?
ReplyDeleteThe 2 types of triangles are :
Right angle triangles
Non right angle triangles
properties or right angle triangle
ReplyDeleteRight amgle triangle hav three sides
1. the longest being the Hypotenuse
2. The side oppostie to the angle is the opposite side.
3.the side adjacent to the angle is called the adjacent
What are two types of Triangles?
ReplyDeleteRight angled and Non Right Angled
Rules for Right Angle Triangles
ReplyDelete- The sum of the the two side/smaller squares when formed on a right angle triangle equals to the longest side square known as the hypotenus.It follows the phythagoras theorem or rule.
Non Right angle triangles
-Uses the cos,sin or sine,cosine rule where both angle and distance can be found, it allows more flexibility than right angle triangles
two type of triangles are right angle triangles and equilateral triangles. they both have 3 sides the equilateral has 3 equal sides and 3 equal angles. the right angle triangle has three sides one long sides and two other sides with a right angle and 2 other angles.
ReplyDeletenum(4)the two kinds of triangles are;right angle and non-right angle triangles....for the right angle triangle pythagoras theorem can be used to solve the lenghts of the each side ...sin,cos and tan ratios can be used to find both the lenghts of each side and their angles where they meet.....a right angle triangle obviously has a right angle/ 90 degree angle....
ReplyDeleteThe two types of triangles are-:
ReplyDeletethe right angle triangle and
the non right angle triangle.
The right angle triangle has a 90o angle.
ReplyDeleteThe non right angle triangle does not have a 90o angle
ReplyDeleteThe non right angle triangle does not have a 90o angle, unless a perpendicular line bisects down the center forming two right angle triangles.
ReplyDeleteFor the right angle triangle the sin, tan and cos ratio can be used to calculate both the length of the sides and the angles.
ReplyDeleteFor the right angle triangle if no angles are given the pythagoras theorem can then be used to determin the length of the sides.
ReplyDeleteFor the non right angle triangle the sine and cosine rule can be used when their respective information is given.
ReplyDeletethere are types of triangles non-right and right angle triangle
ReplyDeletethe right angle triangle has a 90 degrees angle while the non right angle triangle dont have 90 degrees but has angles an sides are found using the sine and cosine rule
ReplyDeletein right angle triangle sin,cos, tan and pythagoras theorem only
ReplyDeletethe sine and cosine rule connect angles and sides. therefore you can use them for non-right angle.
ReplyDeletethe two types of triangles are the right angled, and non-right angled triangle
ReplyDeletefor right angled triangles, pythagoras' theorem, the sine, cosine, and tangent of the angles can be used to solve thsis triangle.
ReplyDeleteFor Non - right angled triangles, sine rule, and cosine rule can be applied
two types of triangles are right angle 90 degrees.
ReplyDeleteand non right angle not 90 degrees
ReplyDeleteNon - right angled triangles
ReplyDelete- sine rule
- cosine rule
right angled triangles,
ReplyDelete-Pythagoras'theorem, the
-sine
-cosine
-tangent
two types of triangle are right angle triangle and an acute angle triange..
ReplyDeleteThis comment has been removed by the author.
ReplyDeletetwo types of triangles are:
ReplyDeleteright angles
non right angles
for a right angle triangle it consists of a 90 degree angle a 30 degree angle and a 60 degree. the lengths may vary.
ReplyDeleteto solve right angle triangles trigonometry plays an important role. sine, cosine and tan are all used to solve respective paths.
ReplyDeletesine= opp/hyp
ReplyDeletecos= adj/opp
tan= opp/adj
as well as pythgaroas therom
for non right angles the cos and sin rule applies. to find either side or angles in this particular triangles.
ReplyDeletethere is also the equilateral triangle with 3 sides and isosceles with 2 equal sides
ReplyDeleteThe 2 types of triangles are the right angled and non right angled triangles.
ReplyDeletefor right angled triangles. u can use sin,cosine, tan, and pythagora's theorem. According to wat the question gives u u can use either on.
ReplyDeleteFor non right angled triangles. u can use the cosine rule and sine rule. According to wat the question gives u u can use either on.
ReplyDeleteSine rule:
ReplyDeletesina/sinA=sinb/sinB=sinc/sinC
Cosine rule:
a=b^2+c^2-2bcCosA
b=a^2+c^2-2acCosB
c=a^2+b^2-2abCosC
when dealing with non-right angle triangles the sine rule and cosine rule is used
ReplyDeleteSOH CAH TOA
ReplyDeleteSin=opp/hyp
Cos=adj/hyp
Tan=opp/adj
Cosine rule:
ReplyDeletea=b^2+c^2-2bcCosA
b=a^2+c^2-2acCosB
c=a^2+b^2-2abCosC
used when dealing with non-right angle triangle
Sine rule:
ReplyDeletesina/sinA=sinb/sinB=sinc/sinC
also used in non-right angle triangle
Cosine rule:
ReplyDeletefor non right angled triangles
a=b^2+c^2-2bcCosA
b=a^2+c^2-2acCosB
c=a^2+b^2-2abCosC
Sine rule:
ReplyDeletesina/sinA = sinb/sinB = sinc/sinC
Two types of triangles are Right angled triangles and non-right angled triangles.
ReplyDeletefor a triangle to be a right angle angled trianle it MUST consist of an internal angle measuring 90 degrees. the other two internal angles can be of any magnitude provided the are positive and add up to another 90 degrees eg 45+45 or 30+60 or 27+63 etc.
ReplyDeleteany triangle that does have the properties of a right angled triangle is a non right angled triangle. the 3 internal angles can be of any magnitude except 90 but they must be positive and add up to 180 degrees eg 20+60+100 or 45+55+80 or 23+87+70.
ReplyDeleteTHE RIGHT ANGLED TRIANGLE
ReplyDeleteThe side opposite to the right angle is the hypotenuse; it is the longest side in the right triangle. The other two sides are the legs of the triangle (adjacent/ opposite)
two types of triangles are right angle triangles and non- right angle triangles(which include all other triangles that are not right angled ie. Acute and Obtuse triangles)
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteRight Angle Triangles
ReplyDeleteA right triangle is a triangle with a right angle (i.e. 90°).
You may have noticed from your experience with right angle triangles in mumz maths class that the side opposite the right angle is always the triangle's longest side. It is called the hypotenuse of the triangle. The other two sides are called the legs. The lengths of the sides of a right triangle are related by the Pythagorean Theorem ie. a^2 = b^2 + c^2. lengths and angles can also be found in right angle triangles using the following equation
- sin @= opp/hpy
- tan @= opp/adj
- cos @= adj/hpy
Non-Right Angle Triangles
ReplyDeleteAny triangles other than right angle triangles are considered to be non-right angle triangles.
finding either lengths or angles on these triangles can be found by using either of the following methods:
- sine rule
ie. a/sinA = b/sinB = c/sinC
- cosine rule
1e. a^2 = b^2 + c^2 - 2(b)(c)cosA
Hey there are some bloggers who have the sine rule WRONG!!!!!!! you guys have:
ReplyDeletesina/sinA = sinb/sinB = sinc/sinC
it is soooooooooo wrong to do this...since you will be finding the sine of a length(sina) which is not possible since you can only find the sine of an angle.
absolutely fantastic, "grapes"@@@@@@@@, Shotta 4 ever, Happy_hour, and precious check your comments sweeties.... :)
SOH CAH TOA
ReplyDeleteSin=opp/hyp
Cos=adj/hyp
Tan=opp/adj
Cosine rule:
ReplyDeletefor non right angled triangles
a=b^2+c^2-2bcCosA
b=a^2+c^2-2acCosB
c=a^2+b^2-2abCosC
there are 2 types of triangles i.e right angles and non right angles
ReplyDeletefor non right angles the cosine rule
ReplyDeletea= b^2+c^2 - 2bc cosA
b= a^2+c^2 - 2ac cosB
c= a^2+b^2 - 2ab cosC
or
sine rule
a/sinA = b/sinB = c/sinC
right angle triangles
ReplyDeletePythagorean theorem maybe applied
or
hyp = opp/adj
opp = adj/hyp
adj = opp/hyp
the 2 types of triangles are the right angled and non right angled triangles.
ReplyDeleteA right triangle has one 90° and a variety of often-studied properties including:-
ReplyDeleteProof of Pythagorean Theorem
Pythagorean Triplets
Sine, Cosine, Tangent
This comment has been removed by the author.
ReplyDeleteThe Equilateral triangle has three equal sides and three equal angles.
ReplyDeleteEach angle is 60°
The Isosceles triangle has two equal sides and two equal angles.
ReplyDeleteThe Scalene Triangle has no congruent sides.
ReplyDeleteThe Acute Triangle has three acute angles (an acute angle measures less than 90°)
ReplyDeleteThe Obtuse Triangle has an obtuse angle (an obtuse angle has more than 90°).Since the total degrees in any triangle is 180°, an obtuse triangle can only have one angle that measures more than 90°.
ReplyDeletethere are 2 types of triangles, they are right angled triangles and non right angled triangles
ReplyDelete2 types of triangles are the equilateral and isosceles triangle
ReplyDeletein a equilateral triangle all 3 sides and angles are equal with the value of each angle being 60 degrees
ReplyDeletein an isosceles triangle 2 sides and angles are equal
ReplyDeletethe area of both triangles can be found by using the formula 1/2 ab sinC where a and b are lengths of two sides and C is the angle formed where these lengths meet
ReplyDeleteto denith, yes you can also approach the question this way
ReplyDeleteAt first i was thinking along the lines of Scalene, Isoceles and Equilateral...but i realised the context was Rigth angular an d Non-Right angular Triangles.
ReplyDeleteRight angled triangles, like all triangles have a total of 180 degrees. With one of the 3 angles being 90 degrees.
ReplyDeleteNon Right angled triangles have 180 degrees in total like any triangle, but all 3 angles may be same size or all totally different.
ReplyDeleteNon right angled triangles may also hav 2 angles same size or 2 angles of opposite size.
ReplyDeleteIn right angle triangles, Phythagora's Theorem may be applied
ReplyDeletei.e. a^2 + b^2 = c^2
there are 2 types of triangles, these are right angled and non right angled triangles
ReplyDeletethere are different types of triangles
ReplyDeleteone of these is the scalene triangle which has no equal sides or angles
another of these triangles is the isoscles triangle which has two equal sides and angles
ReplyDeleteanother of these triangles is the equilateral triangle with all sides and angles equal
ReplyDeleteall angles in a triangle add to 180 degrees and does not exceed 180 degrees
ReplyDeleteAll triangles consists of 3 lengths and 3 angles.
ReplyDeleteWhat are the 2 types of triangles?
For each type state the properties or rules that can be applies.
Illustrate with examples
yes
ReplyDeleteall triangles are made of 3 side an 3 angles
A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ABC.
right-angled triangle
ReplyDeleteobtuse triangle
equilateral triangle
http://www.gcse.com/maths/images/right_angle_triangle.gif
ReplyDeleteright angle triangles and non- right angle triangles.
ReplyDeletefor right angle triangles,
the following applies.
sin=opp/hyp.
this applies when you have a right angled triangle, and need to find either the unknown angle or an unknown side. such "side" can only include the hypotenuse (side opposite the right angle)
or the opposite side to the angle given that is not right the right angle.
if the angle is not given, cross multiply the formula to find it.
cos=adj/hyp.
ReplyDeletethis is used to find either the adjacent side.....adjacent here relative to the angle given that is not the right angle.....
Or it can be used to find the hypotenuse.
If the angle is not give, and needs to be found....this formula can be used to solve for it....given the both sides required to do so is given
tan=opp/adj.
ReplyDeletethis can be used to find the opposite side, speaking in terms of the angle given, or the adjacent side, also speaking in terms of the angle given.
if the angle needs to be found, use this same formula to find it by cross-multiplying.
for a right angle triangle, Pythagoras' theorem is also applicable.
ReplyDeletethis is basically states
h^2= x^2 + y^2
where h is the hypotenuse
x is any other side
and
y is the remaining side.
this is used primarily to find lengths and not angles like in the rules listed above.
non right angled triangles include:
ReplyDeletescalene
isosceles
obtuse
equilateral.
in non right angled triangles, the following rule is applicable.
ReplyDeletea^2=b^2 + c^2 - 2bc Cos A.
this is called the cosine rule,
where a is the unknown side that needs to be found,
b and c are known lengths on the triangle,and
A is the angle given.
note that the triangle is labeled like this.
ReplyDeletewhen the triangle is labeled, its vertexes are in capitals. for example triangle ABC or triangle XYZ.
the sides are labeled in the common letter of the opposite vertex.
for example,
in triangle ABC,
the side opposite vertex A will be called a, instead of AB, etc.
the 2 types of triangles are the right angled and non right angled triangles.
ReplyDeletein right angle triangle sin,cos, tan and pythagoras theorem are uesed only
ReplyDeletefor non right angle triangles the following rule is applicable.
ReplyDeletea/Sin A = b/Sin B = c/Sin C
this is called the sine rule.
where the numerator is a side/length on the given triangle, and the denominator is the respective angle.
it can be used to find an angle, given two lengths.
it can be used to find a length given 2 angles.
cross multiply and solve.
to fine the area of a non right angled triangle,
ReplyDeleteuse the formula 1/2 ab Sin C.
where a and b are lengths of the triangle and C is a given angle.
to find the area of a non- right angled triangle use the formula b*h/2.
ReplyDeletewhere b is the base of the triangle
where h is the perpendicular height of the triangle.