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WAEC Mathematics 2004 Question 22

Question 22

Triangles and Quadrilaterals

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

Diagram for this question
  1. A.5.6 cm
  2. B.11.2cm
  3. C.11.4cm
  4. D.28.0cm
Show the answer and explanation

Answer: A (5.6 cm)

Explanation

X↔P, Y↔R, Z↔Q, so PQ/XZ = PR/XY: PQ = 3.5 × 8/5 = 5.6 cm.