Find AC . AB=x+12, BC=2x-3 and B is the midpoint of segment AC.

Answer 1

If B is the midpoint of AC then AB = AC, so

x + 12 = 2x - 3

x = 15

so AB = BC = 27

since AB + BC = AC (by segment addition postulate)

then

27 + 27 = AC

AC = 54