In the adjoining figure, if AD is the bisector of ∠A, what is AC?

Given AD is the bisector of ∠A in ΔABC. Let AC be x cm.

We know that the angle bisector theorem states that the internal bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

⇒ x = 4 cm

∴ AC = 4 cm