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"In \\( \\triangle A B C \\), medians \\( B D \\) and \\( C E \\) are perpendicular to each other at point \\( P . \\) If \\( B D = 18 , C E = 15 \\)\nthen find \\( \\frac { \\operatorname { ar } ( A E P D ) } { 10 } \\)."

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