Difference between revisions of "1999 USAMO Problems/Problem 2"
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Revision as of 13:35, 4 July 2013
Problem
Let 
be a cyclic quadrilateral. Prove that ![\[|AB - CD| + |AD - BC| \geq 2|AC - BD|.\]](http://latex.artofproblemsolving.com/6/a/7/6a70d0405d1612efa759ecc19ba17ee9ef428354.png)
Solution
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See Also
| 1999 USAMO (Problems • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAMO Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
