if an area of an equalateral triangle is 64√3cm².find it height
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Answer : 48 cm
Given, area of an equilateral triangle = 64√3 cm2
Area of an equilateral triangle = √3/4 (side)2
√3/4(Side)2 = 64√3 ⇒ (Side)2 = 64*4
⇒ Side =16 cm
[taking positive square root because side is always positive]
Perimeter of an equilateral triangle = 3 x Side= 3 x 16 = 48 cm
Hence, the perimeter of an equilateral triangle is 48 cm.
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