Question

Point 6 is on line segment FH. Given FG=8 and GH=11, determine length FH

Answer 1

GH = 20

Explanation:

We have that

FH = FG + GH ← substitute values

4x + 8 = x + 5x

4x + 8 = 6x ( subtract 4x from both sides )

8 = 2x ( divide both sides by 2 )

4 = x

Hence GH = 5x = 5 × 4 = 20GH = 20