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WAEC Mathematics 2015 Question 30

Question 30

Triangles and Quadrilaterals

In the diagram, VW//YZ, |WX| = 6cm, |XY| = 16 cm, |YZ| = 20cm and |ZX| = 12cm. Calculate |VX|

Diagram for this question
  1. A.3cm
  2. B.4cm
  3. C.6cm
  4. D.8cm
Show the answer and explanation

Answer: D (8cm)

Explanation

Triangles XVW and XYZ are similar (VW//YZ), so VX/XY = WX/XZ: VX = 16 × 6/12 = 8 cm.