B is the midpoint of line AC. AB = 5x and BC = 2x+3. Find AB, BC, and AC?

midpoint-of-line

#1

B is the midpoint of line AC. AB = 5x and BC = 2x+3. Find AB, BC, and AC?

Answer:

If B is the midpoint, then AB=BC. So

5x=2x+3
3x=3
x=1

AB=5x=5(1)=5
BC=AB=5
AC=AB+BC=5+5=10