Question

the measure of each side of an equilateral triangle whoose area is √3 cm

Answer 1

Area of an equilateral ∆ = √3 cm²
√3a² / 4 = √3
a² = 4√3 / √3
a² = 4
a = √4
a = 2 cm

Thus, the measure of each side of an equilateral triangle whose area is root 3 cm square is 2 cm.

So, answer is B... 2 cm.

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Answer 2

Area of equilateral triangle = √3 cm²


$\mathbf{we \: \: know \: \: \: \: area \: of \: equilateral \: triangle \: = \frac{ \sqrt{3} }{4} \times side}$


Hence,

$\frac{ \sqrt{3} }{4} \times {side}^{2} = \sqrt{3} \\ \\ = > {side }^{2} = \frac{ \sqrt{3} \times 4}{ \sqrt{3} } \\ \\ => {side}^{2} = 4$


=> side² = 2²

=> side = 2 cm