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WAEC Mathematics 2015 Objective — Question 30

Question 30 of 50 from the West African Examinations Council (WAEC) Mathematics 2015 Objective paper, with the correct answer and a full explanation.

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

Diagram for question 30
  • A. 3cm
  • B. 4cm
  • C. 6cm
  • D. 8cmCorrect

Explanation

By similar triangles (VWX ~ ZYX): XY/XZ = VX/WX → 16/12 = VX/6 → VX = (16×6)/12 = 8cm.

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