The height of the hexagon whose side is a

\frac{3 \sqrt{3}}{2} a

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\frac{3 \sqrt{3}}{4} a

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\sqrt{3} a

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None of these

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Solution

The correct option is C $\sqrt{3} a$
The given hexagon is regular hexagon.
$∴$ AF = AO = FO = OE = FE
Height of the hexagon = distance AE.
$= \frac{\sqrt{3}}{2} a + \frac{\sqrt{3}}{2} a = \sqrt{3} a .$

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