Question

If the bisector of an angle of a triangle bisects the opposite side, prove that the triangle is isosceles. [CBSE 2000, '01, '02]​

Answer 1

Answer:

If the bisector of an angle of a triangle also bisects the opposite side, prove that the triangle is isosceles. To Prove - Triangle ABC is isosceles or AB = AC. △ABD and △ACD are congruent as per AAS postulate. And therefore, AB=AC.