Question

in the figure below, g is between e and h, and f is the midpoint of $overline{eg}$. if $fg = 6$ and $fh = 9$, find $eh$.

Explanation:

Step1: Find length of EG

Since F is the mid - point of $\overline{EG}$ and $FG = 6$, then $EG=2\times FG$. So, $EG = 2\times6=12$.

Step2: Find length of EH

We know that $EH=EG + GH$. And $GH=FH - FG$, so $GH=9 - 6 = 3$. Then $EH=EG+GH=12 + 3=15$.

Answer:

$15$