Difference between revisions of "2005 AIME I Problems/Problem 14"

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== Solution ==
 
== Solution ==
 
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{{solution}}
 
== See also ==
 
== See also ==
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* [[2005 AIME I Problems/Problem 13 | Previous problem]]
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* [[2005 AIME I Problems/Problem 15 | Next problem]]
 
* [[2005 AIME I Problems]]
 
* [[2005 AIME I Problems]]
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[[Category:Intermediate Geometry Problems]]

Revision as of 17:33, 17 January 2007

Problem

Consider the points $A(0,12), B(10,9), C(8,0),$ and $D(-4,7).$ There is a unique square $S$ such that each of the four points is on a different side of $S.$ Let $K$ be the area of $S.$ Find the remainder when $10K$ is divided by 1000.

Solution

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See also