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In-the-interior-of-a-quadrilateral-ABCD-consider-a-variable-point-P-Prove-that-if-the-sum-of-distances-from-P-to-the-sides-is-constant-then-ABCD-is-a-parallelogram-




Question Number 16069 by Tinkutara last updated on 21/Jun/17
In the interior of a quadrilateral  ABCD, consider a variable point P.  Prove that if the sum of distances from  P to the sides is constant, then ABCD  is a parallelogram.
IntheinteriorofaquadrilateralABCD,consideravariablepointP.ProvethatifthesumofdistancesfromPtothesidesisconstant,thenABCDisaparallelogram.

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