OIM 1989 Problem 3

Let $a,b$ and $c$ be the side lengths of a triangle. Prove that: $\frac{a-b}{a+b}+\frac{b-c}{b+c}+\frac{c-a}{c+a}<\frac{1}{16}$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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