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If the area of an equilateral triangle is 16√3 cm2, then the perimeter of the triangle is A. 48 cm B. 24 cm C. 12 cm D. 36 cm |
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Answer» B. 24 cm Given, area of an equilateral triangle = 16√3 cm2 Area of an equilateral triangle = √3/4 (side)2 √3/4(Side)2 = 16√3 => (Side)2 = 64 => Side = 8 cm [taking positive square root because side is always positive] Perimeter of an equilateral triangle = 3 x Side = 3 x 8 = 24 cm Hence, the perimeter of an equilateral triangle is 24 cm. |
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