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Contests
National and Regional Contests
Kyrgyzstan Contests
Kyrgyzstan Regional Olympiad
2017 Kyrgyzstan Regional Olympiad
1
inequality
inequality
Source: kyrgyzstan regional
March 3, 2017
triangle inequality
inequalities
Problem Statement
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.
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