Question

B is the midpoint of AC. What is the value of x if AC = 52 and AB = 3x - 4

Answer 1

x = 10

Explanation:

Since B is the midpoint of AC then AB = BC = 3x - 4 and

AB + BC = AC , thus

3x - 4 + 3x - 4 = 52, that is

6x - 8 = 52 ( add 8 to both sides )

6x = 60 ( divide both sides by 6 )

x = 10