Question

in the figure below, f is between e and g, and g is between f and h. if fh = 11, eh = 19, and eg = 13, find fg.

Explanation:

Step1: Use segment - addition postulate

We know that $EH=EF + FH$ and $EG=EF + FG$. Also, $FH = 11$, $EH = 19$, $EG = 13$. First, find $EF$ from $EH=EF + FH$. So, $EF=EH - FH$.
$EF=19 - 11=8$.

Step2: Find $FG$

Since $EG=EF + FG$, then $FG=EG - EF$. Substitute $EF = 8$ and $EG = 13$ into the formula.
$FG=13 - 8 = 5$.

Answer:

$5$