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2005 AIME I Problems/Problem 14

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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

See also

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