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Question

asked Jan 8, 2021 167k views

1 Answer

Richard Crane · Answer 1 · 2021-01-15T04:30:53+0000

Answer:

See below.

Explanation:

Since the two triangles are similar, this means that their corresponding sides are proportional. In other words:

(PQ)/(XY)=(QR)/(YZ)=(RP)/(ZX)

Part A:

We already know PQ, RP, XY, and YZ.

To find XZ, we can use the first and third proportions:

$(PQ)/(XY) =(RP)/(ZX) \\=(7.2)/(18)=(6.5)/(ZX)$

Cross multiply:

$117=7.2(ZX)\\ZX \text{ or } XZ = 16.25$

Part B:

The same thing as Part A, but with the first and second proportions:

$(PQ)/(XY)=(QR)/(YZ)\\(7.2)/(18)=(QR)/(7)\\50.4=18(QR)\\QR=2.8$