Question

Rk. .) If B is the midpoint of AC and AB=20, BC=2x, find x and the length of AC.

Answer 1

AB = BC

Since B is the midpoint of AC , Both segments AB and BC are equal:

Replacing with the values given:

20 = 2x

Solving for x

20/2 = x

10=x

Since:

AC= AB+BC

AC = 20+2x

Replacing x=10

AC = 20+2(10)

AC=20+20

AC=40