If the area of an equilateral triangle is 16 √3 cm² , then the perimeter of the triangle is ?
(a) 8 cm
(b) 16 cm
(c) 24 cm
(d) 32 cm
Plz tell me the correct answer...
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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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