Question

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

Answer 1

Because B is the midpoint of AC, point B divides AC into two equal segments:

AB = BC

Substitute all known values into the above equation:

x + 5 = 2x – 11

Add 11 to both sides of the equation:

x + 16 = 2x

Subtract "x" from both sides of the equation:

16 = x

We have proven that x = 16. Now we are asked to find the measure of AB. Simply substitute the known value of "x" into the equation for AB:

AB = 16 + 5

Simplify the right side of the equation:

AB = 21

The measure of segment AB is 21

I hope this helps!