MathDB

10

Part of 1968 IMO Shortlist

Problems(1)

Find values of a/b such that conditions satisfy

Source:

9/23/2010
Consider two segments of length a,b (a>b)a, b \ (a > b) and a segment of length c=abc = \sqrt{ab}.
(a) For what values of a/ba/b can these segments be sides of a triangle ?
(b) For what values of a/ba/b is this triangle right-angled, obtuse-angled, or acute-angled ?
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