Question

9. The area of an equilateral triangle is 4 √3 sq cm. The length of each side is: ​

Answer 1

Answer:

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Answer 2

Answer:

$Area \: of \: equilaterl \: triangle = 4 \sqrt{3} {cm}^{2} \\ \frac{ \sqrt{3} }{4} \times {a}^{2} = 4 \sqrt{3} \\ \frac{ \sqrt{3} {a}^{2} }{4} = 4 \sqrt{3} \\ \sqrt{3} {a}^{2} = 4 \times 4 \sqrt{3} \\ \sqrt{3} {a}^{2} = 16 \sqrt{3} \\ {a}^{2} = \frac{16 \sqrt{3} }{ \sqrt{3} } \\ {a}^{2} = 16 \\ a = \sqrt{16} \\ a = 4cm \\ Therefore, \: the \: length \: of \: each \: side \: is \: 4cm$