Question

point g is on line segment $overline{fh}$. given $fg = 5$ and $gh = 8$, determine the length $overline{fh}$.

Explanation:

Step1: Recall segment - addition postulate

If a point $G$ lies on a line - segment $\overline{FH}$, then $FH=FG + GH$.

Step2: Substitute given values

We know that $FG = 5$ and $GH = 8$. Substituting these values into the formula $FH=FG + GH$, we get $FH=5 + 8$.

Step3: Calculate the sum

$5+8 = 13$.

Answer:

$13$