Prove that all angles are equal in an equilateral triangle.
| April 27, 2021 | education
Given:
triangle ABC – equilateral.
Prove that angle A = angle B = angle C.
Evidence:
1. Consider the triangle ABC. It is isosceles because AB = BC. We know that in an isosceles triangle, the angles at the base are equal to each other, that is, angle A = angle C.
2. Consider the triangle ABC. It is isosceles because AB = AC. We know that in an isosceles triangle, the angles at the base are equal to each other, that is, angle B = angle C.
3. Consequently, the angle A = angle B = angle C. What was required to prove.
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