Question

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

Answer 1

`GH=29(1)/(6)\ units`

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(7)/(12)\ units`

Convert mixed number to an improper fraction

`14(7)/(12)=14+(7)/(12)=(175)/(12)`

Find the value of GH

`GH=2(GF)`

substitute the value of GF

`GH=2((175)/(12))=(175)/(6)\ units`

Convert to mixed number

`(175)/(6)=(174)/(6)+(1)/(6)=29(1)/(6)\ units`

therefore

`GH=29(1)/(6)\ units`