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What will be the area (in sq. cm) of an equilateral triangle if its height is 10 cm?

What will be the area (in sq. cm) of an equilateral triangle if its height is 10 cm? Correct Answer 100 / √3

Let each side be x cm in length. ➩ (x / 2)2 + 102 = x2 ➩ (x2 – x2 / 4) = 100 ➩ 3x2 / 4 = 100 ➩ x2 = 400 / 3 Area = √3 / 4 * x2 = √3 / 4 * 400 / 3 = 100 / √3 cm2

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