Mathematical and Physical Journal
for High Schools
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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.


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