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Cuba National MO

Source: Cuba Mathematical Olympiad 2007, grade 12, problem 3

January 26, 2014
geometrycircumcircleinequalitiestriangle inequalitygeometry proposed

Problem Statement

Let OO be the circumcircle of △ABC\triangle ABC, with AC=BCAC=BC end let D=AO∩BCD=AO\cap BC. If BDBD and CDCD are integer numbers and AO−CDAO-CD is prime, determine such three numbers.
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