IMO Shortlist 1988 problem 3


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2. travnja 2012.
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The triangle ABC is inscribed in a circle. The interior bisectors of the angles A,B and C meet the circle again at A', B' and C' respectively. Prove that the area of triangle A'B'C' is greater than or equal to the area of triangle ABC.
Izvor: Međunarodna matematička olimpijada, shortlist 1988