Question

The perimeter of an equilateral triangle is numerically equal to its area. Find the lengthof side of the equilateral triangle.

Answer 1

Hi friend,
let the side be a.

Perimeter of an equilateral ∆ = 3a
Area of an equilateral ∆ = √3/4a²

• 3a= √3/4a²

• 3a×4 = √3a²

• 12a= √3a²

• 12= √3a

• 12/√3 =a

• a = 4√3

• a= 4×1.73

• side = 6.92

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