Question

State: True/ False: All equilateral triangles are similar triangles. *

Answer 1

Step-by-step explanation:

of course its true because equilateral triangle will have 60' degrees in all sides

so yhat only it is called as equilateral triangle

Answer 2

True, : All equilateral triangles are similar triangles as corresponding angles are congruent and corresponding sides are in proportion.

Equilateral Triangle

A triangle in which all the sides are of equal length is called an equilateral triangle.

Each of  the angles of an  equilateral triangle measures 60°

Equilateral triangle also called equiangular.

Similar Triangles

Two triangles are similar if their corresponding angles are congruent, and the corresponding sides are in proportion.

All the Equilateral triangles have Measures of each angle as 60° Hence Corresponding angles of two equilateral triangles are congruent

Hence using Angle-Angle-Angle Similarity Equilateral triangles are similar

Also even considering side length

Let say there are two equilateral  triangle one with side length m and other with n

Taking ratio of corresponding side = m/n for each Hence same

So triangles are similar as per SSS similarity also

Hence, Given statement is True that  All equilateral triangles are similar triangles