Question

Work out xz and qr need asap​

Answer 1

see explanation

Explanation:

Since the triangles are similar then the ratios of corresponding sides are equal

(a)

`(xPR)/(XZ)` =
`(PQ)/(XY)` , substitute values

`(6.5)/(XZ)` =
`(7.2)/(18)` ( cross- multiply )

7.2XZ = 117 ( divide both sides by 7.2 )

XZ = 16.25 cm

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(b)

`(QR)/(YZ)` =
`(PQ)/(XY)` , substitute values

`(QR)/(17)` =
`(7.2)/(18)` ( cross- multiply )

18QR = 122.4 ( divide both sides by 18 )

QR = 6.8 cm