Question

in the figure below, g is between e and h, and f is the mid - point of eg. if fh = 9 and fg = 7, find eh.

Explanation:

Step1: Find length of EG

Since F is the mid - point of EG and FG = 7, then EG = 2×FG.
$EG = 2\times7=14$

Step2: Find length of EH

We know that EH=EG + GH. And since FH = 9 and FG = 7, then GH=FH - FG.
$GH=9 - 7 = 2$.
So, $EH=EG+GH=14 + 2=16$

Answer:

16