IMO Shortlist 1962 problem 6


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2. travnja 2012.
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Consider an isosceles triangle. let R be the radius of its circumscribed circle and r be the radius of its inscribed circle. Prove that the distance d between the centers of these two circle is d=\sqrt{R(R-2r)}
Izvor: Međunarodna matematička olimpijada, shortlist 1962