Difference between revisions of "1982 USAMO Problems/Problem 3"
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[[Category:Olympiad Geometry Problems]] | [[Category:Olympiad Geometry Problems]] | ||
Revision as of 19:13, 3 July 2013
Problem
If a point 
is in the interior of an equilateral triangle 
and point 
is in the interior of 
, prove that
,
where the isoperimetric quotient of a figure 
is defined by
![$I.Q.(F) = \frac{\text{Area (F)}}{\text{[Perimeter (F)]}^2}$](http://latex.artofproblemsolving.com/5/9/6/59605bef5fa499b868bb9d25da48807658139b0a.png)
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 1982 USAMO (Problems • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 | ||
| All USAMO Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
