If a triangle is an equilateral triangle, then the triangle has exactly three 60° angles. △ABC is an equilateral triangle?

Question

asked Aug 26, 2021 32.0k views

1 Answer

Samizdis · Answer 1 · 2021-09-02T01:16:44+0000

Explanation:

In an equilateral triangle, all the three sides are equal as well as all the angles are equal. Let the angles be x.

We know that the sum of angles of a triangle is equal to 180 degrees. It means that,

x+x+x=180

3x=180

x=60°

Hence, if a triangle is an equilateral triangle, then the triangle has exactly three 60° angles. Hence, △ABC is an equilateral triangle