Answer:
[tex]GH=29\frac{1}{6}\ units[/tex]
Step-by-step explanation:
we have that
[tex]GH=GF+FH[/tex] -----> equation A
If point F bisects GH
then
[tex]GF=FH[/tex] ----> equation B
substitute equation B in equation A
[tex]GH=2(GF)[/tex]
we have
[tex]GF=14\frac{7}{12}\ units[/tex]
Convert mixed number to an improper fraction
[tex]14\frac{7}{12}=14+\frac{7}{12}=\frac{175}{12}[/tex]
Find the value of GH
[tex]GH=2(GF)[/tex]
substitute the value of GF
[tex]GH=2(\frac{175}{12})=\frac{175}{6}\ units[/tex]
Convert to mixed number
[tex]\frac{175}{6}=\frac{174}{6}+\frac{1}{6}=29\frac{1}{6}\ units[/tex]
therefore
[tex]GH=29\frac{1}{6}\ units[/tex]
