Problem C. 1300. (May 2015)

C. 1300. The lengths of the sides of a convex quadrilateral, in this order, are \(\displaystyle \sqrt{a}\), \(\displaystyle \sqrt{a+3}\), \(\displaystyle \sqrt{a+2}\) and \(\displaystyle \sqrt{2a+5}\). The length of each diagonal is \(\displaystyle \sqrt{2a+5}\). Determine the greatest angle of the quadrilateral.

(5 pont)

Deadline expired on June 10, 2015.

Statistics:

22 students sent a solution.
5 points:	Bottlik Judit, Brányi Balázs, Egyházi Anna, Erdei Ákos, Farkas Dóra, Fehér Balázs, Fényes Balázs, Fülöp Erik, Kasó Ferenc, Kósa Szilárd, Krisztián Jonatán, Mándoki Sára, Szücs Patrícia.
4 points:	Bereczki Zoltán.
2 points:	6 students.
1 point:	2 students.

Problems in Mathematics of KöMaL, May 2015