Prove that the sides opposite to equal angles of a triangle are equal.
Answer:
- Let ABC be an isosceles triangle with ∠B=∠C.
- We need to prove that AB=AC
- Let us construct an angle bisector AD of angle A.
- As the corresponding parts of congruent triangles are equal, we have AB=AC.
- Thus, the sides opposite to equal angles of a triangle are equal.