Question

G is the midpoint for FH what is the length of FG

Answer 1

Since G is the midpoint of FH,

$\begin{gathered} FG=GH \\ \Rightarrow11x-7=3x+9 \\ \Rightarrow11x-3x=9+7=16 \\ \Rightarrow8x=16 \\ \Rightarrow x=2 \end{gathered}$

Therefore,

$\begin{gathered} FG=11x-7=11\cdot2-7=22-7=15 \\ \Rightarrow FG=15 \end{gathered}$

The answer is 15, option a.