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, (a 2 – a 2 /4) = (6√3) 2
Or, 3a 2 /4 = 108
Or, a 2 = 144
Or, a = 12 cm
Therefore, area of the equilateral triangle = √3a 2 /4
Or, area of the equilateral triangle = (√3 × 144)/4 = 36√3 cm 2
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