Prove that the median to the base of an isosceles triangle also bisects the angle at the vertex from which it is drawn.

Question

Write a Two column proof.

Triangle ABC is isosceles. CD is a median. Prove angle ACD = angle DCB

Answer 1

Since ABC is isoc and AD is the med; sides AC and BC are =; angles A and B are =. angles ACD and DCB correspond; AD=BD; <A=<B. D is a set of rt <s; so <side< is proof.