Mathematical and Physical Journal
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Problem C. 1306. (September 2015)

C. 1306. Prove that if a triangle has two sides that are at most as long as the corresponding altitudes each, then the triangle is an isosceles right-angled triangle.

(5 pont)

Deadline expired on October 12, 2015.


Statistics:

66 students sent a solution.
5 points:Babotán Márk, Bánóczi Anna, Buzás Álmos, Csorba Benjámin, Erdélyi Janka, Fetter László, Horváth András János, Inges Zénó, Kiss Vivien Mercédesz, Kocsis Júlia, Komoróczy Ádám, Kormányos Hanna Rebeka, Kovács Iván, Kupás Vendel Péter, M. Szűcs Péter, Mészáros 01 Viktória, Ondrik Ákos, Osváth Tibor Attila, Pukler Márton, Souly Alexandra, Tar Viktor, Tatai Mihály, Tolmácsi Ágnes, Török Réka .
4 points:Dankowsky Anna Zóra, Horeftos Leon, Kasó Ferenc, Kiss Attila Csaba, Kósa Szilárd, Matusek Márton, Nagy 911 Viktória, Perger Kitti, Simon Ákos, Sudár Ákos, Szücs Patrícia, Tisza Marcell, Tóth Adrián, Viharos Loránd Ottó.
3 points:7 students.
2 points:4 students.
1 point:6 students.
0 point:8 students.
Unfair, not evaluated:3 solutions.

Problems in Mathematics of KöMaL, September 2015