Question
The altitude of an equilateral triangle is 6√3 cm.
Find the area of the equilateral triangle.Solution
Let each side of the equilateral triangle be ‘a’ cm Therefore, (a2 – a2/4) = (6√3)2 Or, 3a2/4 = 108 Or, a2 = 144 Or, a = 12 cm Therefore, area of the equilateral triangle = √3a2/4 Or, area of the equilateral triangle = (√3 × 144)/4 = 36√3 cm2
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