Question

Point F bisects GH. Find GH if GF = 14 7/12

Answer 1

Answer:

$GH=29\frac{1}{6}\ units$

Step-by-step explanation:

we have that

$GH=GF+FH$ -----> equation A

If point F bisects GH

then

$GF=FH$ ----> equation B

substitute equation B in equation A

$GH=2(GF)$

we have

$GF=14\frac{7}{12}\ units$

Convert mixed number to an improper fraction

$14\frac{7}{12}=14+\frac{7}{12}=\frac{175}{12}$

Find the value of GH

$GH=2(GF)$

substitute the value of GF

$GH=2(\frac{175}{12})=\frac{175}{6}\ units$

Convert to mixed number

$\frac{175}{6}=\frac{174}{6}+\frac{1}{6}=29\frac{1}{6}\ units$

therefore

$GH=29\frac{1}{6}\ units$