Assume the middle line

Question

 Assume the middle line is a midsegment in the problem below. Find the length of BC

Answer 1

Per the midsegment theorem the middle line will be half the length of BC:

2x - 8 = 1/2(2x + 8)

4x - 16 = 2x + 8

2x = 24

x = 12

BC = 2x + 8 = 2(12) + 8 = 32