Question

If FG = 4x, GH = x + 4, and FH = 9, what is GH?

Answer 1

5

Explanation

From the diagram:

`\bar{FG}+\bar{GH}=\bar{FH}`

Substituting FG = 4x, GH = x + 4, and FH = 9, and solving for x:

`\begin{gathered} 4x+(x+4)=9 \\ (4x+x)+4=9 \\ 5x+4=9 \\ 5x+4-4=9-4 \\ 5x=5 \\ (5x)/(5)=(5)/(5) \\ x=1 \end{gathered}`

Substituting x = 1 into the formula of GH, we get:

`\begin{gathered} \bar{GH}=x+4 \\ \bar{GH}=1+4 \\ \bar{GH}=5 \end{gathered}`