If the area of a regular hexagon is equal to the area of an equilateral triangle of side 12 cm, then the length in cm of each side of the hexagon is
Explanation:
Area of the equilateral triangle = √3/4 × (12)2
Let the length of each side of the regular hexagon be ‘a’. Area of a regular hexagon with side ‘a’ = 6 × √3/4 × (a)2
Now, 6 × √3/4 × (a)2 = √3/4 × (12)2
⇒ a2 = 24
⇒ a = 2√6
Hence, option (d).
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