Answer:
see explanation
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AC}{XZ}[/tex] = [tex]\frac{AB}{XY}[/tex] , substitute values
[tex]\frac{9}{XZ}[/tex] = [tex]\frac{4}{16}[/tex] ( cross- multiply )
4XZ = 144 ( divide both sides by 4 )
XZ = 36 cm
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Also
[tex]\frac{BC}{ZY}[/tex] = [tex]\frac{AB}{XY}[/tex] , substitute values
[tex]\frac{BC}{48}[/tex] = [tex]\frac{4}{16}[/tex] ( cross- multiply )
16BC = 192 ( divide both sides by 16 )
BC = 12 cm
