Problem C. 1308. (October 2015)
C. 1308. If appropriate triangles are cut into two parts with a line through the vertex with the largest angle, two isosceles triangles are obtained. What may be the angles of an obtuse-angled triangle if this division into two parts can be accomplished in two different ways?
(5 pont)
Deadline expired on November 10, 2015.
Statistics:
121 students sent a solution. 5 points: Cseh Noémi, Csépányi István, Czirják Lilla, Dávid Levente, Édes Lili, Fekete Balázs Attila, Garamvölgyi István Attila, Jánosdeák Márk, Kamenár Gyöngyvér, Kovács 124 Marcell, Kovács Richárd, Marozsák Tóbiás , Márton Anna, Molnár 410 István, Nagy 999 Benedek, Nagy Nándor, Németh Csilla Márta, Páhoki Tamás, Pinke Andrea, Szécsi Adél Lilla, Szilágyi Éva, Tóth 111 Máté , Tóth 430 Róbert, Weisz Máté. 4 points: Bácskai Zsombor, Bukor Benedek, Nagy Enikő, Pap-Takács Noémi, Paulovics Péter, Perényi Gellért, Villányi Soma, Volford Anita, Zsombó István. 3 points: 10 students. 2 points: 51 students. 1 point: 14 students. 0 point: 11 students. Unfair, not evaluated: 2 solutionss.
Problems in Mathematics of KöMaL, October 2015