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