Question

Given: APQR VAXYZ. What is the length of side PR? (T.G.7)(1 point) Y 9 5 Х N P 2x - 4 R O A. 25 O B. 36 O C. 20 O D 40

Answer 1

If the triangles are similar then the ratio between corresponding sides remains constant:

`(PQ)/(XY)=(QR)/(YZ)=(PR)/(XZ)`

We have

• PQ = 9

,

• XY = 5

,

• PR = 2x-4

,

• XZ = x

We can find x with the ratio:

`\begin{gathered} (PQ)/(XY)=(PR)/(XZ) \\ (9)/(5)=(2x-4)/(x) \end{gathered}`
`\begin{gathered} 9x=5(2x-4) \\ 9x=10x-20 \\ 20=10x-9x \\ 20=x \end{gathered}`

If x = 20, then

`PR=2x-4=2\cdot20-4=36`

PR = 36