a, b, c - the side lengths of a triangle

k - a positive real number

I observed that: , so CBS inequality seems a good idea, but what I tried to do didn't help me ._.

I want some indications. Thanks in advance.

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- Mar 27th 2011, 12:22 AMveileenInequality with the side lengths of a triangle
a, b, c - the side lengths of a triangle

k - a positive real number

I observed that: , so CBS inequality seems a good idea, but what I tried to do didn't help me ._.

I want some indications. Thanks in advance. - Mar 27th 2011, 03:16 AMWilmer
I observed:

a =< b =< c < a+b (since a triangle)

Your equation:

Equality obtained if a = b = c , else greater than - Mar 27th 2011, 12:17 PMveileen
I used Cebīșev's inequality (supposing that a<=b<=c) and I got this:

And no, even if it looks easy, I don't know how to prove it >.>