Question

in the figure below, g is between e and h, and f is the mid - point of $overline{eg}$. if $fg = 3$ and $fh = 9$, find $eh$.

Explanation:

Step1: Find length of EG

Since F is the mid - point of $\overline{EG}$ and $FG = 3$, then $EG=2\times FG$. So, $EG = 2\times3=6$.

Step2: Find length of EH

We know that $EH=EG + GH$. And $GH=FH - FG$, so $GH=9 - 3 = 6$. Then $EH=EG+GH$. Substituting the values of $EG$ and $GH$, we get $EH=6 + 6=12$.

Answer:

$12$