5. If the area of an equilateral triangle is 36✓3 cm square, find its perimeter,
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Step-by-step explanation:
Area of an Equilateral triangle = √3/4 a²
a = side of each side of the triangle
Now equating,
√3/4 a² = 36√3
a² = 36√3 *4 /√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
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