Question

in the figure below, f is between e and g, and g is between f and h. if fh=5, eg=7, and eh=10, find fg. fg = \boxed{?}

Explanation:

Step1: Find EF

We know that \( EH = 10 \) and \( FH = 5 \). Since \( EH=EF + FH \), we can solve for \( EF \) by rearranging the formula: \( EF=EH - FH \).
Substituting the given values, we get \( EF = 10 - 5=5 \).

Step2: Find FG

We know that \( EG = 7 \) and \( EF = 5 \). Since \( EG=EF + FG \), we can solve for \( FG \) by rearranging the formula: \( FG=EG - EF \).
Substituting the values of \( EG \) and \( EF \), we get \( FG = 7 - 5 = 2 \).

Answer:

\( 2 \)