Problem B. 4667. (November 2014)
B. 4667. Prove that if \(\displaystyle a\), \(\displaystyle b\) and \(\displaystyle c\) are the sides of a triangle of unit perimeter, then \(\displaystyle a^2+b^2+c^2+4abc<\frac{1}{2}\).
(5 pont)
Deadline expired on December 10, 2014.
Statistics:
90 students sent a solution. 5 points: 75 students. 4 points: 2 students. 3 points: 1 student. 2 points: 1 student. 1 point: 3 students. 0 point: 8 students.
Problems in Mathematics of KöMaL, November 2014