Question

in the figure below, g is between e and h, and f is the mid - point of $overline{eg}$. if $fg = 2$ and $eh = 9$, find $gh$.

Explanation:

Step1: Find length of EG

Since F is the mid - point of EG and FG = 2, then EG=2×FG. So, EG = 2×2=4.

Step2: Find length of GH

We know that EH = EG+GH. Given EH = 9 and EG = 4, we can solve for GH. Rearranging the formula gives GH=EH - EG. So, GH = 9 - 4=5.

Answer:

5