Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation

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Problem A. 424. (March 2007)

A. 424. Given a convex quadrilateral ABCD and a point P in its interior such that AP=CP, $\measuredangle ABC=\measuredangle APD$ and $\measuredangle CDA=\measuredangle CPB$ . Prove that

DA^.AB^.BP=BC^.CD^.DP.

(5 pont)

Deadline expired on April 16, 2007.

Statistics:

9 students sent a solution.

5 points: Hujter Bálint, Kisfaludi-Bak Sándor, Kónya 495 Gábor, Korándi Dániel, Kornis Kristóf, Lovász László Miklós, Nagy 235 János, Tomon István.

Unfair, not evaluated: 1 solutions.

Problems in Mathematics of KöMaL, March 2007

9 students sent a solution.
5 points:	Hujter Bálint, Kisfaludi-Bak Sándor, Kónya 495 Gábor, Korándi Dániel, Kornis Kristóf, Lovász László Miklós, Nagy 235 János, Tomon István.
Unfair, not evaluated:	1 solutions.