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WAEC Mathematics 1995 Question 22

Question 22

Triangles and Quadrilaterals

In the diagram below. |AB| = 12cm, |AE| = 8cm, |DC| = 9cm and AB||DC. Calculate |EC|.

Diagram for this question
  1. A.10cm
  2. B.9cm
  3. C.8cm
  4. D.7.5
  5. E.6cm.
Show the answer and explanation

Answer: E (6cm.)

Explanation

Triangles ABE and CDE are similar (AB ∥ DC), so EC/AE = DC/AB: EC = 8 × 9/12 = 6 cm.