MathDB
Putnam 2010 B2

Source:

December 6, 2010
Putnamanalytic geometryinequalitiesgeometryrectangleconicshyperbola

Problem Statement

Given that A,B,A,B, and CC are noncollinear points in the plane with integer coordinates such that the distances AB,AC,AB,AC, and BCBC are integers, what is the smallest possible value of AB?AB?
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