Maximum area

Geometry Level 2

P P is an arbitrary point inside the triangle A B C ABC .Let A D , B E AD,BE and C F CF be three lines that passes through the point P P where D , E D,E and F F lies on the lines B C , C A BC,CA and A B AB respectively.The area of A B C ABC is 28.What is the maximum area of D E F DEF ?


The answer is 7.

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