In the diagram, ΔXYZ is similar to ΔPRQ, |XY| = 5cm, |XZ| =3.5cm and |PR|...
MATHEMATICS
WAEC 2004
In the diagram, ΔXYZ is similar to ΔPRQ, |XY| = 5cm, |XZ| =3.5cm and |PR| = 8cm. Find |PQ|
- A. 5.6 cm
- B. 11.2cm
- C. 11.4cm
- D. 28.0cm
Correct Answer: A. 5.6 cm
Explanation
\(\frac{PQ}{PR}=\frac{XZ}{XY}; \frac{PQ}{8}=\frac{3.5}{5}\\
PQ=\frac{8\times 3.5}{5}=\frac{28}{5}=5.6cm\)
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