Question

In ΔABC, AB = AC and the bisector of ∠B and ∠C meet at a point O, then ΔOBC is

• A. Equilateral Triangle
• B. Congruent To Δ Abc
• C. Scalene Triangle
• D. Isosceles Triangle

Answer 1

The correct option is D

Isosceles Triangle

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

∠OBC = ∠OCB (OB and OC are bisectors)

Then OB = OC (sides opposite to equal angles of a triangle)

Hence, ΔOBC is an isosceles triangle.