## What are the characteristics of an isosceles and an equilateral triangle?

3 Answers By Expert Tutors. 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.

What is the relationship between isosceles and equilateral triangles?

An isosceles triangle has two sides of equal length. In an equilateral triangle, all three sides are equal. So every equilateral triangle is also isosceles, but an isosceles triangle us not in general equilateral.

### Is equilateral triangle subset of isosceles triangle?

An Equilateral Triangle is a triangle with all three sides equal. This tells us that All equilateral triangles are isosceles triangles as well. However, All isosceles triangles are not equilateral triangles. This means that Set B is subset of Set A.

How are isosceles and equilateral triangles similar and different?

Isosceles triangles are those that have two sides equal in length. Equilateral triangles are those that have all three sides equal. These are not the same.

#### What do isosceles triangles and equilateral triangles have in common?

Well, being triangles, they both have 3 sides and their internal angles add up to 180° . Also, they have two or more sides that are equal in length, and two or more internal angles that are equal.

Are two equilateral triangles always similar?

For two triangles to be similar the angles in one triangle must have the same values as the angles in the other triangle. For the equilateral triangles since they always have 3 angles that are each 60° , any equilateral triangles will be similar.

## Does a triangle have 3 equal sides?

An equilateral triangle has three equal sides and angles.

Why is equilateral triangle subset of triangle?

Since an equilateral triangle of any side measurement in a plane can be put under the set of triangles in the same plane, therefore {x: x is an equilateral triangle in a plane} is a subset of {x:x is a triangle in the same plane}.

### What is the difference between equilateral triangle and triangle?

In an equilateral triangle , all the sides and angles are of equal length. In an isosceles triangle , 2 of the sides are equal and 2 angles are equal.

Why are all equilateral triangles similar?

Similarity. A property of equilateral triangles includes that all of their angles are equal to 60 degrees. Since every equilateral triangle’s angles are 60 degrees, every equilateral triangle is similar to one another due to this AAA Postulate.