Question

Write the Converse of the Given Conditional. In a triangle ABC, AB=AC then angleC = angleB

Answer 1

Answer: In triangle ABC, ∠C = ∠ B then AB = AC

Explanation:

Given:

P.F.A the figure below for reference:

A Δ ABC in which:

• AB = AC
• Thus, ∠ C = ∠ B

Hence, theorem applied:

Angles opposite to equal sides are equal.

To find:

The converse of the given statement.

Proof:

• Applied theorem:

Angles opposite to equal sides are equal.

∴ Converse of the Theorem =

Sides opposite to equal angles are equal.

By this, we get:

In triangle ABC, ∠C = ∠ B then AB = AC

Hence, Proved.

Hope you got that.

Thank you.