Question 23
If $a$, $b$, $c$, are the sides of a triangle, show that
$$
\frac{a-b}{a+b} + \frac{b-c}{b+c} + \frac{c-a}{a+c} \lt \frac{1}{16}.
$$
$$
\frac{a-b}{a+b} + \frac{b-c}{b+c} + \frac{c-a}{a+c} \lt \frac{1}{16}.
$$
MathNet 1989 — Part 01 Question 23
Math Olympiad Vault · MathNet 1989 — Part 01