Question

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

Answer 1

set the equation for AB equal to BC and solve for x giving you 16 than pull 16 into X in the AB equation giving you 21 for the measure of AB

Answer 2

AB = 21 is the measurement.

Explanation:

It is given in the question that B is the mid point of AC.

AB = x + 5 and BC = 2x -11

Since B is the midpoint of AC, therefore AB = BC

x + 5 = 2x - 11

2x - x = 11 + 5 = 16

x = 16

Therefore AB = x + 5 = 16 + 5 = 21

Length of AB is 21.