Question

in the figure below, f is between e and g, and g is between f and h. if fh = 10, fg = 7, and eg = 15, find eh. eh =

Explanation:

Step1: Find length of $EH$ using segment - addition postulate

$EH=EG + GH$.
We know that $FH = FG+GH$, so $GH=FH - FG$.

Step2: Calculate the value of $GH$

Given $FH = 10$ and $FG = 7$, then $GH=10 - 7=3$.

Step3: Calculate the value of $EH$

Given $EG = 15$ and $GH = 3$, then $EH=EG + GH=15 + 3$.
$EH=18$.

Answer:

$18$