Math Forum :: View topic – diagonals

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ssupermath

Joined: 12 Nov 2004Posts: 10

Posted: Sat Dec 18, 2004 4:44 am    Post subject: diagonals

Let ABCD be a convex quadrilateral and all sides of it are constant.AC and BD diagonals intersect at P point.Prove that the sum of AC and BD diagonals are maximum iff 1/AP +1/PC =1/BP+1/PD.
Find a formula for the maximum and minumum value of the sum of AC and BD diagonals.

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