What is the length of the side of a regular hexagon, if its area is 54√3 sq cm?
Let side of regular hexagon = $$a$$ cm
Area of regular hexagon = $$\frac{3\sqrt{3}}{2} a^2$$
=> $$\frac{3\sqrt{3}}{2} a^2=54\sqrt{3}$$
=> $$a^2=54 \times \frac{2}{3} = 36$$
=> $$a=\sqrt{36}=6$$ cm
=> Ans - (C)
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