Question

Prove that an equilateral triangle is equiangular.​

Answer 1

Answer:

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Answer 2

To Prove an equilateral triangle is equiangular:

• First, construct an equilateral triangle with the same length of sides and mark it as A, B, C.
• In ΔABC,
• AB = BC
• ∠C = ∠A  → (1) (∵ Angles on opposite sides are equal)
• Now in ΔABC,
• AB = CA
• ∠C = ∠B  → (2)  (∵ Angles on opposite sides are equal)
• From (1) and (2) we get,
• ∠A = ∠B = ∠C

Hence an equilateral triangles is equiangular.

Hence Proved.