Triangle Inside a Hexagon

Geometry Level pending

\(ABCDEF\) is a regular hexagon with \( CD = 1 \text{ cm} \). Point \(H\) lies on \(DE\) such that \( DH = HE \). Point \( G\) lies on \(EF\) such that \( EG = GF\). Diagonal \( CF\) intersects segment \( BG\) at \( J \) and intersects \( BH\) at \(K\). Find the area of \( \triangle BJK\) (in \(\text{cm}^2\)) to two decimal places.


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