Question

The length of each side of an equilateral triangle of area 4√3 cm² is​

Answer 1

$we \: know \: area \: of \: a \: equilateral \: triangle \: is \: \frac{ \sqrt{3} }{4} {a}^{2} \\ where \: a \: is \: the \: length \: of \: 1 \: side \: of \: the \: triangle \\ \\ so \: acoording \: to \: question: \: \: \: \frac{ \sqrt{3} }{4} {a}^{2} = 4 \sqrt{3} \\ = > {a}^{2} = 4 \sqrt{3} \times \frac{4}{ \sqrt{3} } \\ = > {a}^{2} = {4}^{2} \\ = > \sqrt{ {a}^{2} } = \sqrt{ {4}^{2} } \\ = > a = 4cm.$

Hence each side if the equilateral triangle is 4cm. if the area of that triangle is 4×root(3) cm^2.

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Answer 2

$Solution=> \\\\Given:-$

The Area of the Equilateral Triangle is$4\sqrt{3}cm^{2}$.

$\\To Find:-$

Length of the side.

Area of the equilateral triangle = ((√3)/4) × $sides^{2}$ sq. Units

= (4√3) = ((√3)/4) × $Sides^{2}$

= $Sides^{2}$ = (4√3)/ (4/(√3)

= $Sides^{2}$ = 4 × 4

= $Sides^{2}$ = 16

= Side = 4cm

Hence, the length of each side of the triangle is 4 cm.