Wednesday, September 15, 2010
25th Canadian Mathematical Olympiad Problems 1993
25th Canadian Mathematical Olympiad Problems 19931. Show that there is a unique triangle such that (1) the sides and an altitude have lengths with are 4 consecutive integers, and (2) the foot of the altitude is an integral distance from each vertex. 2. Show that the real number k is rational iff the sequence k, k + 1, k + 2, k + 3, ... contains three (distinct)
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