Question

The area of an eqilateral triangle is numerically equal to its perimeter.find its perimeter

Answer 1

Area of Triangle = Perimeter of triangle

$\frac{a {}^{2} \sqrt{3} }{4} = 3a \\ a \sqrt{3} = 12 \\ a = \frac{12}{ \sqrt{3} } = \frac{12 \sqrt{3} }{ 3 } = 4 \sqrt{3}$

Therefore, perimeter = 3a

$3 \times 4 \sqrt{3} = 12 \sqrt{3} m$

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