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JAMB Mathematics 1990 Question 34

Question 34

Triangles and Quadrilaterals

In triangle XYZ and XQP, XP = 4cm, XQ = 5cm and PQ = QY = 3cm. Find ZY

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

Answer: B (6cm)

Explanation

Triangles XPQ and XZY are similar, with XY = 5 + 3 = 8cm matching XP = 4cm. So ZY/PQ = 8/4, giving ZY = 2 × 3 = 6cm.