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2010 USAMO 4/USAJMO 6

Pose Olympiad-level questions to the monkeys in the peanut #.
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2010 USAMO 4/USAJMO 6

Postby stupidityismygam » Wed May 05, 2010 5:52 am

Let [unparseable or potentially dangerous latex formula] be a triangle with [unparseable or potentially dangerous latex formula]. Points [unparseable or potentially dangerous latex formula] and [unparseable or potentially dangerous latex formula] lie on sides [unparseable or potentially dangerous latex formula] and [unparseable or potentially dangerous latex formula], respectively, such that [unparseable or potentially dangerous latex formula] and [unparseable or potentially dangerous latex formula] Segments [unparseable or potentially dangerous latex formula] and [unparseable or potentially dangerous latex formula] meet at [unparseable or potentially dangerous latex formula]. Determine whether or not it is possible for segments [unparseable or potentially dangerous latex formula] to all have integer lengths.
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