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Tournament Of Towns
2002 Tournament Of Towns
1
Easy one
Easy one
Source: Tournament of Towns,Spring 2002, Junior A Level, P1
May 13, 2014
inequalities
inequalities proposed
BPSQ
Problem Statement
Let
a
,
b
,
c
a,b,c
a
,
b
,
c
be sides of a triangle. Show that
a
3
+
b
3
+
3
a
b
c
>
c
3
a^3+b^3+3abc>c^3
a
3
+
b
3
+
3
ab
c
>
c
3
.
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