If a,A,b,B,c,C are non-negative real numbers, where

a+A=b+B=c+C=s,

than

a.B+b.C+c.A < s^2

Can you help me prove this inequality only with using properties of linear function? (Wondering)

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- Nov 22nd 2008, 02:31 AMmptlu6interesting inequality
If a,A,b,B,c,C are non-negative real numbers, where

a+A=b+B=c+C=s,

than

**a.B+b.C+c.A < s^2**

Can you help me prove this inequality only with using properties of linear function? (Wondering)