Difference between revisions of "1989 OIM Problems/Problem 3"
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== Solution == | == Solution == | ||
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| + | == See also == | ||
| + | https://www.oma.org.ar/enunciados/ibe4.htm | ||
Latest revision as of 12:30, 13 December 2023
Problem
Let 
, 
, and 
be the longitudes of the sides of a triangle. Prove:
![\[\frac{a-b}{a+b}+\frac{b-c}{b+c}+\frac{c-a}{c+a}<\frac{1}{16}\]](http://latex.artofproblemsolving.com/8/1/5/815e94b144f496e813104e2bf97099d86c48b775.png)
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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