Question

Are all equilateral triangles similar? Explain and if they are?include which similarity criteria (postulate) supports your answer. (In geometry,an equilateral triangle is a triangle in which all three sides have the same length.)

Answer 1

A property of equilateral triangles includes that all of their angles are equal to 60 degrees.

The AAA Triangle Similarity Postulate asserts that if all of the angles in a triangle are equal to the corresponding angles in another triangle, then those two triangles are equal.

Since every equilateral triangle’s angles are 60 degrees, every equilateral triangle is similar to one another due to this AAA.