Question

In the figure below, BD bisects ∠ABC. What is the length of AB?

Select the best choice from the answers provided.
A.) 3
B.) 6
C.) 8
D.) 12

Answer 1

D. 12

Explanation:

Based on the Angle Bisector theorem, the opposite sides of ∆ABC are divided into proportional segments alongside the two other sides of the triangle, as BD bisects the <ABC. This implies that:

AB/AD = CB/CD

Substitute

AB/8 = 6/4

Cross multiply

AB*4 = 6*8

AB*4 = 48

AB = 48/4

AB = 12