Question

In the diagram below of triangle DEF, G is the midpoint of DF and H is the midpoint of EF. If GH = 3x + 2, and DE = 18 + 4x, what is the measure of GH?

Answer 1

23.

Explanation:

1) if 'G is the midpoint of DF and H is the midpoint of EF', then 0.5*DE=GH, and

2) it is possible to write: 0.5(18+4x)=3x+2, where x=7.

3) if x=7, then GH=3*7+2=23.