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With equal angles and equal side lengths, what more could you want from a polygon?

The above diagram is a regular hexagon. If the length of \(\overline {AB}\) is \(19,\) what is the area of \(\triangle CDE ?\)

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The three hexagons in the above diagram are regular hexagons. If the side length of each hexagon is \(23,\) what is the length of \(\overline {DK} ?\)

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A regular hexagon has side length \( 8\) cm. What is the perimeter (in cm) of the hexagon?

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Point O is the center of the above regular hexagon. What is the area of quadrilateral \(CDEF\) when the area of triangle \(AOF\) is \(3?\)

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The above diagram is a regular hexagon. What is the area of \(\triangle ACE\) when the side length of the regular hexagon is \(21?\)

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