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

m
m
Line 3: Line 3:
  
 
== Solution ==
 
== Solution ==
 
+
{{solution}}
 
== See also ==
 
== See also ==
 +
* [[2005 AIME I Problems/Problem 13 | Previous problem]]
 +
* [[2005 AIME I Problems/Problem 15 | Next problem]]
 
* [[2005 AIME I Problems]]
 
* [[2005 AIME I Problems]]
 +
 +
[[Category:Intermediate Geometry Problems]]

Revision as of 16:33, 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

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also