Question

25. With the help of definition of the similarity of triangles, prove that all equilateral triangles are similar.

Answer 1

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

The AAA Triangle Similarity Postulate states 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 Postulate.

Also, after determining that one geometrical shape is similar to another, all of their pairs of corresponding sides have the same ratio.