Question

B is the midpoint of A . If AB = x+5 and BC =2x-11, find the measure of AB

Answer 1

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

We have AB = x + 5 and BC = 2x - 11.

Therefore we have the equation:

x + 5 = 2x - 11       subtract 5 from both sides

x = 2x - 16       subtract 2x from both sides

-x = -16      change the signs

x = 16

Put the value of x to the expression x + 5:

AB = 16 + 5 = 21

Answer: AB = 21