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Question

# If the area of an equilateral triangle is 36√3 cm2, Then find the perimeter of the triangle is

A

24 cm
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B

36 cm
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C

12 cm
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D

38 cm
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Solution

## The correct option is B 36 cmGiven, area of an equilateral triangle =36√3 cm2 Area of an equilateral triangle =√3/4(side)2√3/4 (side)2=36√3⇒(Side)2=144⇒Side=12 cm [Taking positive square root because side is always positive] Perimeter of an equilateral triangle =3×Side=3×12=36 cm Hence, the perimeter of an equilateral triangle is 36 cm. So, option b is correct.

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