Given the line AB = a, extend the line Ba to the point C so that AC = 1 / 2Ab, and the point D is the midpoint of the line BC

Given the line AB = a, extend the line Ba to the point C so that AC = 1 / 2Ab, and the point D is the midpoint of the line BC

∵ AC = 1 / 2Ab, ab = a ∵ AC = (1 / 2) AB = (1 / 2) a ∵ BC = AC + AB = (1 / 2) a + a = (3 / 2) a and ∵ D is the midpoint of BC ∵ CD = (3 / 4) a. just draw a picture and you will understand