Question

the length of each side of an equilateral triangle having an area of 9√3 cm² is?​

Answer 1

Answer: 6 cm

Step-by-step explanation:

$Area\ of\ an\ Equilateral\ Triangle=\frac{\sqrt{3} }{4} a^{2} \\\\=>9\sqrt{3}= \frac{\sqrt{3} }{4} a^{2} \\\\=>a^{2} = 9\sqrt{3} *\frac{4}{\sqrt{3} }\\\\=>a^{2} =9*4\\=>a^{2} =36\\=>a=\sqrt{36} =6\ cm$

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Answer 2

Step-by-step explanation:

area of an equilateral triangle is given by

(√3 / 4)* side^2 = 9√3

side^2 = 36

taking square root

side = 6 cm