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JAMB Mathematics 1984 Question 44

Question 44

Triangles and Quadrilaterals

In the figure above, TSP = PRQ, QR = 8cm, PR = 6cm and ST = 12cm. Find the length SP.

Diagram for this question
  1. A.4cm
  2. B.16cm
  3. C.9cm
  4. D.14cm
  5. E.Impossible, insufficient data.
Show the answer and explanation

Answer: C (9cm)

Explanation

Triangles PRQ and PST share angle P and have <PRQ = <PST, so they are similar: PR/PS = QR/TS. 6/PS = 8/12 gives PS = 9cm.