Question

In the figure below, C is between A and D, and B is the midpoint of AC. If BD=8 and BC=6, find AD.

Answer 1

AD = 14

Explanation:

BC = 6

BD = 8

CD = BD - BC

CD = 8 - 6

CD = 2

Since B is the midpoint of AC, therefore:

AC = 2*BC

AC = 2*6

AC = 12

Thus:

AD = AC + CD

AD = 12 + 2

AD = 14