Question

in the figure below, ( gh = 9 ) and ( fg = 2 ). find ( fh ).

Explanation:

Step1: Use the segment addition postulate

According to the segment addition postulate, if \(F\), \(G\), and \(H\) are collinear points with \(G\) between \(F\) and \(H\), then \(FH=FG + GH\).

Step2: Substitute the given values

We know that \(FG = 2\) and \(GH=9\). Substituting these values into the formula \(FH=FG + GH\), we get \(FH=2 + 9\).

Step3: Calculate the sum

\(2+9 = 11\).

Answer:

\(11\)