Question

In triangle ABC, angle A = 2 * angle B. Let a, b, c be the lengths of its sides BC, CA, AB respectively. Prove that a^2 = b (b + c)

Answer 1

Actually I do know how to solve this question. However, I hope that whoever is viewing this will try it :) feel free to message me if you want to know the solutions and answer! :)

Answer 2

hohoho...., i love geometry :)
first make bisector from A intersects line BC at point D. then utilize the figure