MathDB
2012-2013 Winter OMO #36

Source:

January 16, 2013
Online Math OpengeometrytrapezoidincenterinequalitiesPythagorean Theoremtriangle inequality

Problem Statement

Let ABCDABCD be a nondegenerate isosceles trapezoid with integer side lengths such that BC∥ADBC \parallel AD and AB=BC=CDAB=BC=CD. Given that the distance between the incenters of triangles ABDABD and ACDACD is 8!8!, determine the number of possible lengths of segment ADAD.
Ray Li
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