Question

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

Explanation:

Step1: Use the segment - addition postulate

If \(H\) is on \(\overline{GI}\), then \(GH + HI=GI\).

Step2: Solve for \(GH\)

We know that \(HI = 3\) and \(GI = 10\). Substitute these values into the equation \(GH+HI = GI\). So \(GH=GI - HI\).
Substitute \(GI = 10\) and \(HI = 3\) into the formula: \(GH=10 - 3\).

Answer:

\(7\)