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