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In the diagram XYZ is similar to PRQ XY 5cm XZ ... - WAEC Mathematics 2004 Question

In the diagram, ∆XYZ is similar to ∆PRQ, |XY| = 5cm, |XZ| =3.5cm and |PR| = 8cm. Find |PQ|

A
5.6 cm
B
11.2cm
C
11.4cm
D
28.0cm
correct option: a

\(\frac{PQ}{PR}=\frac{XZ}{XY}; \frac{PQ}{8}=\frac{3.5}{5}\
PQ=\frac{8\times 3.5}{5}=\frac{28}{5}=5.6cm\)

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