Question

Show that the angles of an equilateral triangle are 60° each.

Answer 1

Let ACB be an equilateral triangle as shown below:

Here, BC = AC = AB ........(Since the length of all sides is same)

⇒ A = B =C ......(Sides opposite to the equal angles are equal.)

Also, we know that

A+B+C = 180°

⇒ 3A = 180°

⇒ A = 60°

∴ A = B = C = 60°

So, the angles of an equilateral triangle are always 60° each.