WAEC 2023 · Paper 1 · Q40

An equilateral triangle has a side of 2 cm2\text{ cm}. Calculate, in cm, the height of the triangle.

h2 cm2 cm1 cm1 cm
Worked solution (try it first)
  1. The height from the top meets the base at its midpoint, making a right-angled triangle with hypotenuse 2 cm and base 1 cm.
  2. Pythagoras: h2=22−12=3h^2 = 2^2 - 1^2 = 3.
  3. So h=3h = \sqrt3 cm, option A.

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