Difference between revisions of "2005 AIME I Problems/Problem 14"
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== Problem == | == Problem == | ||
| − | Consider the points <math> A(0,12), B(10,9), C(8,0), and D(-4,7). </math> There is a unique square <math> S </math> such that each of the four points is on a different side of <math> S. </math> Let <math> K </math> be the area of <math> S. </math> Find the remainder when <math> 10K </math> is divided by 1000. | + | Consider the points <math> A(0,12), B(10,9), C(8,0),</math> and <math> D(-4,7). </math> There is a unique square <math> S </math> such that each of the four points is on a different side of <math> S. </math> Let <math> K </math> be the area of <math> S. </math> Find the remainder when <math> 10K </math> is divided by 1000. |
== Solution == | == Solution == | ||
Revision as of 23:10, 8 July 2006
Problem
Consider the points 
and 
There is a unique square 
such that each of the four points is on a different side of 
Let 
be the area of Find the remainder when 
is divided by 1000.
