Question

in the figure below, g is between e and h, and f is the mid - point of $overline{eg}$. if $eh = 10$ and $fg = 2$, find $gh$.

Explanation:

Step1: Find length of EG

Since F is the mid - point of $\overline{EG}$ and $FG = 2$, then $EG=2\times FG$. So $EG = 2\times2=4$.

Step2: Find length of GH

We know that $EH=EG + GH$. Given $EH = 10$ and $EG = 4$, we can solve for $GH$. Rearranging the formula gives $GH=EH - EG$. So $GH=10 - 4 = 6$.

Answer:

6