Question

Triangle PQR is similar to triangle XYZ. The length of PQ is one-half the length of XY. THe length of RP is 2 cm. Which proportion can be used to find the length of ZX?

Answer 1

Answer:

$ZX = 4cm$

Step-by-step explanation:

Given

$\triangle PQR$ similar to $\triangle XYZ$

$PQ = \frac{1}{2}XY$

$RP = 2cm$

Required

Find ZX

$\triangle PQR$ similar to $\triangle XYZ$ implies that, the following sides are similar

$PQ \to XY$

$QR \to YZ$

$RP \to ZX$

To find ZX, we make use of the following equivalent ratio

$PQ : XY = RP : ZX$

Where

$PQ = \frac{1}{2}XY$

$RP = 2cm$

So, we have:

$\frac{1}{2}XY : XY = 2cm : ZX$

Express as fraction

$\frac{\frac{1}{2}XY }{ XY }= \frac{2cm }{ ZX}$

$\frac{1}{2}= \frac{2cm }{ ZX}$

Make ZX the subject

$ZX = 2 * 2cm$

$ZX = 4cm$