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JAMB Mathematics 1981 Question 45

Question 45

Triangles and Quadrilaterals

In the figure above WU∥YZ, WY∥VU: UZ = 12cm, VZ = 6cm, XU = 8cm. Determine the length of WU.

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

Answer: E (4cm.)

Explanation

Triangles XWU and UVZ have parallel sides, so they are similar: WU/VZ = XU/UZ, i.e. WU/6 = 8/12, giving WU = 4cm.