Question

If the bisector of a traingle also bisects the opposite side prove that the traingle is isosceles

Answer 1

Answer:

Consider the ∆ABC, let AD be the bisector of ∠A and BD = CD. It is required to prove ∆ABC is an isosceles triangle i.e. AB = AC. For this draw a line from C parallel AD and extend BA. ... ∴ ∆ABC is an isosceles triangle.