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Area of an Unique Square

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November 13, 2005
geometryanalytic geometrygraphing linessloperotationtrigonometry

Problem Statement

Consider the points A(0,12)A(0,12), B(10,9)B(10,9), C(8,0)C(8,0), and D(āˆ’4,7)D(-4,7). There is a unique square SS such that each of the four points is on a different side of SS. Let KK be the area of SS. Find the remainder when 10K10K is divided by 10001000.
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