Question

@
Eind the length of each side of an equilateral,
triangle having an area of 9 root3​

Answer 1

Area of equilateral triangle =

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

According to the question

$\: \: \: \: 9 \sqrt{3} = \frac{ \sqrt{3} }{4} {a}^{2} \\ = > \frac{9 \sqrt{3} \times 4 }{ \sqrt{3} } = {a}^{2} \\ = > {a}^{2} = 36 \\ = > a = \sqrt{36} \\ = > a = 6 \: units$

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