Question

in the figure below, g is between e and h, and f is the midpoint of (overline{eg}). if (eh = 11) and (fg = 4), find (gh).

Explanation:

Step1: Find length of EG

Since F is the mid - point of $\overline{EG}$ and $FG = 4$, then $EG=2\times FG$. So, $EG = 2\times4=8$.

Step2: Find length of GH

We know that $EH=EG + GH$. Given $EH = 11$ and $EG = 8$. Then $GH=EH - EG$. So, $GH=11 - 8 = 3$.

Answer:

$3$