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JAMB Mathematics 2010 Question 39

Question 39

Mensuration of Plane Shapes

If the area of ΔPQR above is 12√3 cm2, find the value of q?

Diagram for this question
  1. A.6 cm
  2. B.8 cm
  3. C.7 cm
  4. D.5 cm
Show the answer and explanation

Answer: A (6 cm)

Explanation

Area = ½ × 8 × q × sin 60° = 2√3 q. Setting 2√3 q = 12√3 gives q = 6 cm.