If the area of an equilateral triangle is 36√3cm^2.find it's perimeter.
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Step-by-step explanation:
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Step-by-step explanation:
Area of equilateral triangle = √3/4 x a^2 , where a is the side of the triangle
Given that , √3/4 x a^2 = 36√3cm^2.
On cancelling √3 and transpossing 4 to RHS,
(side)2=36×4
=9×4×4
=(4×3)^2
side=√(12)^2 = 12 cm.
perimeter =3×a, where a is the side
=3×12
=36cm
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