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Q.

The side of an equilateral triangle of area $64 \sqrt{3} {cm}^{2}$

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a

14 cm

b

16 cm

c

12 cm

d

18 cm

answer is D.

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Detailed Solution

Let side be $a$

Given area of the equilateral triangle $= 64 \sqrt{3} {cm}^{2}$

$\frac{\sqrt{3}}{4} a^{2} = 64 \sqrt{3}$

$a^{2} = 64 \times 4$

$a = 8 \times 2 = 16 cm$

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