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Let-ABCD-be-a-convex-quadrilateral-Prove-that-AB-CD-AD-BC-AC-BD-if-and-only-if-ABCD-is-cyclic-Ptolemy-s-theorem-




Question Number 16070 by Tinkutara last updated on 21/Jun/17
Let ABCD be a convex quadrilateral.  Prove that  AB.CD + AD.BC = AC.BD  if and only if ABCD is cyclic (Ptolemy′s  theorem).
LetABCDbeaconvexquadrilateral.ProvethatAB.CD+AD.BC=AC.BDifandonlyifABCDiscyclic(Ptolemystheorem).

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