JAMB Mathematics 1995 Question 34

Question 34

Mensuration of Plane Shapes

In the diagram above, find PQ if the area of triangle PQR is 35cm2.

Diagram for this question
  1. A.7cm
  2. B.10cm
  3. C.14cm
  4. D.17cm
Show the answer and explanation

Answer: C (14cm)

Explanation

Use area = ½ab sin C with the 30° angle at P: ½ × PQ × 10 × ½ = 35. So 2.5 × PQ = 35 and PQ = 14cm.