Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
Already signed up?
New to KöMaL?
I want the old design back!!! :-)

Problem C. 1285. (March 2015)

C. 1285. The length of the radius of the inscribed circle of an isosceles triangle is divided by the length of the radius of the circumscribed circle. What is the maximum possible value of the ratio?

(5 pont)

Deadline expired on April 10, 2015.


Statistics:

36 students sent a solution.
5 points:Bereczki Zoltán, Bottlik Judit, Chourfi Abdel Karim, Egyházi Anna, Fehér Balázs, Fülöp Erik, Kósa Szilárd, Krisztián Jonatán, Mészáros 01 Viktória, Porupsánszki István, Szász Róbert, Várkonyi Lídia, Vida Máté Gergely.
4 points:Erdei Ákos, Fényes Balázs, Gema Szabolcs, Gracia Dániel, Kasó Ferenc, Lénárt Levente, Mándoki Sára, Pap-Takács Mónika, Sándor Gergely, Sipeki Gergely, Szűcs Dorina, Szücs Patrícia, Telek Máté László, Török Réka , Varjas István Péter.
3 points:3 students.
2 points:1 student.
1 point:1 student.
0 point:3 students.

Problems in Mathematics of KöMaL, March 2015