what are the properties of isosceles and equilateral triangle

Question

i need it beacause i need to pass the class

 

Answer 1

An isosceles triangle has two sides of equal length and the angles opposite those sides are of equal measure.

 

An equilateral triangle has all three sides of equal length and all three angles of equal measure. An equilateral triangle is also an isosceles triangle.

 

An equilateral triangle is used to define the 30°-60°-90° Special Triangle.

 

An equilateral triangle is a Regular 3-gon.

 

A Regular 4-gon is used to define the 45°-45°-90° Special Triangle.

Answer 2

ISOSCELES TRIANGLE 

-  two sides are equal in length 

- two opposite angles are the same

- like every other triangle sum of angles equals 180 degrees.

 

EQUILATERAL TRIANGLE 

- all sides are equal in length

- all angles are the same ie. 60 degrees

- like every other triangle sum of angles equals 180 degrees

Answer 3

Hello Mark,

 

Here is the short answer to your question. This information draws from the sources cited below:

 

1. An isosceles triangle has at least two sides that are equal lengths. This also means that an isosceles triangle also has two equal angle measures. For example, an isosceles right triangle has one 90 degree angle and therefore two 45 degree angles, and its side lengths are in the ratio of 1:1: square root of 2. Please note, these angle measures and side length ratios are only for isosceles right triangles, though. An isosceles triangle that is not a right triangle can have any 2 equal angle measures and any 2 equal side lengths.

 

2. Equilateral triangles have 3 equal side lengths and therefore 3 equal angle measures of 60 degrees each. Equilateral triangles are special cases of isosceles triangles--similar to the way a square is a special case of a rectangle.

 

Here are articles with more information than you probably want about isosceles and equilateral triangles from a reliable source:

 

http://mathworld.wolfram.com/IsoscelesTriangle.html

http://mathworld.wolfram.com/IsoscelesRightTriangle.html

http://mathworld.wolfram.com/EquilateralTriangle.html

 

Cheers and good luck with your class.

 

-Todd K.