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Q.

The length of each side of an equilateral triangle having an area of $9 \sqrt{3} {cm}^{2}$ is

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a

4 cm

b

6 cm

c

36 cm

d

8 cm

answer is D.

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Detailed Solution

Area

= 9 \sqrt{3} {cm}^{2}

$\frac{\sqrt{3}}{4} a^{2} = 9 \sqrt{3} {cm}^{2}$

$a^{2} = 9 \times 4 = 36$

$a = \sqrt{36}$

$a = 6$ cm

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