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

8 cm

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36 cm

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4 cm

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6 cm

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Solution

The correct option is D 6 cm
Area of the triangle $= \frac{\sqrt{3} (s i d e)^{2}}{4}$
$9 \sqrt{3} = \frac{\sqrt{3} (s i d e)^{2}}{4}$
$36 \sqrt{3} = \sqrt{3} (s i d e)^{2}$
$36 = (s i d e)^{2}$
$s i d e = 6$ cm

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