if the area of equliateral triangle is 36root3cm^2 Then find the perimeter of a triangle
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Area of an Equilateral triangle = \frac{ \sqrt{3} }{4} a²
a = side of each side of the triangle
Now equating,
\frac{ \sqrt{3} }{4} a² = 36√3
a² = \frac{36 \sqrt{3}* 4}{ \sqrt{3} } [√3 gets cancelled]
a² = 36×4
a = √6×6×2×2 = 12cm
Hence, side= 12cm
Perimeter = (Side + Side + Side)
= (12 + 12 + 12) cm = 36 cm (answer)
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Hope it will help you
Thanks .......
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