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Area of a triangle of which three points are each foot of perpendicular

Here is ΔABC and point P.
Perpendicular feet drawn from point P to three sides are named D, E, and F respectively.
If point P moves, when will the area of ΔDEF be maximized?

GC/Win


  1. : Confirming with measurement (Maximum)
  2. : Confirming with measurement (Maximum)
  3. : Confirming with measurement (Minimum)
Forum of Geometric Constructor by Y.Iijima