Difference between revisions of "2003 AIME I Problems/Problem 12"

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== See also ==
 
== See also ==
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* [[2003 AIME I Problems/Problem 11 | Previous problem]]
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* [[2003 AIME I Problems/Problem 13 | Next problem]]
 
* [[2003 AIME I Problems]]
 
* [[2003 AIME I Problems]]

Revision as of 17:42, 4 November 2006

Problem

In convex quadrilateral $ABCD, \angle A \cong \angle C, AB = CD = 180,$ and $AD \neq BC.$ The perimeter of $ABCD$ is 640. Find $\lfloor 1000 \cos A \rfloor.$ (The notation $\lfloor x \rfloor$ means the greatest integer that is less than or equal to $x.$)

Solution

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See also