Question

in the diagram below of triangle EFG,H is a midpoint of EF and J is a midpoint of FG. If HJ=35-2x, and EG=9x-47, what is the measure of EG?

Answer 1

In this problem we have that

EG=2HJ

substitute the given values and solve for x

9x-47=2(35-2x)

9x-47=70-4x

9x+4x=70+47

13x=117

x=117/13

x=9

Find EG

9(9)-47

81-47=34

answer is 34 units