Question

The bisector of ∠B intersects AC in D. If BA=12 and BC=16, AD=9, then AC = .....,select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) 15
(b) 21
(c) 18
(d) 16

Answer 1

In the attachments I have answered this problem.

I have applied angle director theorem to find the solution.

Angle director theorem:

If the vertical angle of a triangle is bisected the bisector divides the base into two segments which have the same ratio as the order of other two sides.

See the attachments for detailed solution

Answer 2

Step-by-step explanation:

option b is correct answer