Question

point h is on line segment $overline{gi}$. given $hi = 3$ and $gi = 10$, determine the length $overline{gh}$.

Explanation:

Step1: Recall segment - addition postulate

Since point H is on line segment $\overline{GI}$, we have $GI=GH + HI$.

Step2: Solve for $GH$

We can rewrite the equation as $GH=GI - HI$.
Substitute $HI = 3$ and $GI = 10$ into the equation: $GH=10 - 3$.
$GH = 7$

Answer:

7