Question

point g is on line segment \\( \overline { f h } \\). given \\( g h = 7 \\) and \\( f g = 3 \\), determine the length \\( \overline { f h } \\).
answer attempt 1 out of 2
\\( f h = \\)

Explanation:

Step1: Use the segment addition postulate

Since \(G\) is on \(\overline{FH}\), we have \(FH = FG+GH\).

Step2: Substitute the given values

Substitute \(FG = 3\) and \(GH = 7\) into the equation: \(FH=3 + 7\).

Step3: Calculate the sum

\(3+7=10\).

Answer:

\(10\)