Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem A. 410. (November 2006)

A. 410. The angle bisectors of triangle ABC intersect sides BC, CA and AB at points A1, B1 and C1, respectively. On line A1B1, denote by F the perpendicular foot point of C1. Prove that line FC1 bisects angle AFB.

(5 pont)

Deadline expired on December 15, 2006.


Statistics:

15 students sent a solution.
5 points:Bogár 560 Péter, Dudás László, Fischer Richárd, Gyenizse Gergő, Hujter Bálint, Kisfaludi-Bak Sándor, Kónya 495 Gábor, Korándi Dániel, Kornis Kristóf, Kutas Péter, Lovász László Miklós, Nagy 224 Csaba, Nagy 235 János, Nagy 314 Dániel, Tomon István.

Problems in Mathematics of KöMaL, November 2006