Question

B is the midpoint of AC. AB = 2x + 12 and AC = 10x - 12.

Find the following:

x:

AB:

BC:

AC:

Answer 1

Explanation:

If B is the midpoint of AC, then AB = BC and AB+BC = AC

AB +AB = AC

2AB = AC

2(2x+12) = 10x-12

4x+24 = 10x-12

collect like terms:

4x-10x = -12-24

-6x = -36

x = -36/-6

x = 6

Get AB:

AB = 2x+12

AB = 2(6)+12

AB = 12+12

AB = 24

Since AB = BC, hence BC = 24

AC = AB+BC

AC = 24+24

AC = 48