MathDB
Problems
Contests
National and Regional Contests
Kyrgyzstan Contests
Kyrgyzstan Regional Olympiad
2017 Kyrgyzstan Regional Olympiad
1
1
Part of
2017 Kyrgyzstan Regional Olympiad
Problems
(1)
inequality
Source: kyrgyzstan regional
3/3/2017
a
3
+
b
3
+
3
a
b
c
≥
c
3
a^3 + b^3 + 3abc \ge\ c^3
a
3
+
b
3
+
3
ab
c
≥
c
3
prove that where a,b and c are sides of triangle.
triangle inequality
inequalities