Question

If EF bisects CD, CG = 11x-5, GD=13x-15, and EF=12x+2, find EF.

Answer 1

`EF = 62`

Explanation:

Given

`CG = 11x-5`

`GD=13x-15`

`EF=12x+2`

Required

Determine EF

Since EF is a bisector of CD at G, then

`CG = GD`

`11x- 5 = 13x - 15`

Collect Like Terms

`11x - 13x = 5 - 15`

`-2x = -10`

Solve for x

`x = -10/-2`

`x = 5`

Substitute 5 for x in
`EF=12x+2`

`EF = 12 * 5 + 2`

`EF = 60+ 2`

`EF = 62`