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WAEC Mathematics 2007 Question 40

Question 40

Triangles and Quadrilaterals

PQR is an equilateral triangle with side 2√3 cm. Calculate its height.

  1. A.1.7 cm
  2. B.3.0 cm
  3. C.3.2 cm
  4. D.3.9 cm
Show the answer and explanation

Answer: B (3.0 cm)

Explanation

The height bisects the base: h2 = (2√3)2 − (√3)2 = 12 − 3 = 9, so h = 3 cm.