Question

show that the siades of equilateral triangle are 60 each​

Answer 1

Answer:

In equilateral triangle all side are equal then 1 side=2 side =3 side so 60=60=60

Answer 2

Answer:

Let us consider that ABC is an equilateral triangle. Therefore,

AB = BC = AC

AB = AC

∠C = ∠B (Angles opposite to equal sides of a triangle are equal)

Also,

AC = BC

∠B = ∠A (Angles opposite to equal sides of a triangle are equal)

Therefore, we obtain

∠A = ∠B = ∠C

In ΔABC,

∠A + ∠B + ∠C = 180°

∠A + ∠A + ∠A = 180°

∴ 3∠A = 180°

∴ ∠A = 60°

∴ ∠A = ∠B = ∠C = 60°

Hence, in an equilateral triangle, all interior angles are of measure 60°