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The area of an equilateral triangle is $363 cm 2$ . Its perimeter is ____ cm.

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Detailed Solution

The area of an equilateral triangle is

363 cm 2

. Its perimeter is 36 cm.
Given the area of an equilateral triangle is

363 cm 2

.
Area of equilateral triangle is,

A = 34 × a 2 ⇒ 363 = 34 × a 2 ⇒ a 2 = 144 ⇒ a = 12 c m

Now, perimeter of triangle is,
P = sum of all sides

P = 12+ 12 + 12

⇒

P = 36 cm
Perimeter of triangle is 36 cm.

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