IMO Shortlist 1968 problem 10


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2. travnja 2012.
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Consider two segments of length a, b \ (a > b) and a segment of length c = \sqrt{ab}.

(a) For what values of a/b can these segments be sides of a triangle ?

(b) For what values of a/b is this triangle right-angled, obtuse-angled, or acute-angled ?
Izvor: Međunarodna matematička olimpijada, shortlist 1968