Question

in the figure below, g is between e and h, and f is the midpoint of $overline{eg}$. if $fg = 3$ and $fh = 7$, find $eh$.

Explanation:

Step1: Find length of EG

Since F is the mid - point of EG and FG = 3, then EG=2×FG. So, EG = 2×3=6.

Step2: Calculate length of EH

EH=EG + FH - FG. Substitute EG = 6, FH = 7 and FG = 3 into the formula. EH=6 + 7-3.
EH=10.

Answer:

10