4. The perimeter of an equilateral triangle is
√3 times its area. Find the length of each side.
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Answer:
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Step-by-step explanation:
Heya!!
Perimeter of an equilateral triangle = 3*side,
Area of an equilateral triangle = √3/ 4 * (side) ^2
Let the side of an equilateral triangle be x.
According to question,
=) 3x = √3* √3/ 4 * x^2
=) 3x = 3/4 * x^2
=) 3x * 4 / 3x = x
=) 4 = x
Hence side of an equilateral triangle is 4 units.
Hope it helps uh :)
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