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Square Containing Four Points on Sides

2050SpecialistCoordinate GeometryGeometry

AIME I · 2005 · Problem 14

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.
0 students attempted0% solvedRating 2050

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