Question

If FG = 2, GH = 2x, and FH = x + 6, what is GH?

F
G
2
x + 6
2x
H
Simplify your answer and write it as a proper fraction, mixed number, or integer.

Answer 1

GH = 8

Explanation:

F , G snd H , lie on the same straight line , then

FG + GH = FH ( substitute values )

2 + 2x = x + 6 ( subtract x from both sides )

2 + x = 6 ( subtract 2 from both sides )

x = 4

Then

GH = 2x = 2 × 4 = 8