Answer:
see explanation
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal
(a)
[tex]\frac{xPR}{XZ}[/tex] = [tex]\frac{PQ}{XY}[/tex] , substitute values
[tex]\frac{6.5}{XZ}[/tex] = [tex]\frac{7.2}{18}[/tex] ( cross- multiply )
7.2XZ = 117 ( divide both sides by 7.2 )
XZ = 16.25 cm
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(b)
[tex]\frac{QR}{YZ}[/tex] = [tex]\frac{PQ}{XY}[/tex] , substitute values
[tex]\frac{QR}{17}[/tex] = [tex]\frac{7.2}{18}[/tex] ( cross- multiply )
18QR = 122.4 ( divide both sides by 18 )
QR = 6.8 cm
