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Found problems: 51

1994 India Regional Mathematical Olympiad, 2
Tags: geometry , incenter , area of a triangle , heron's formula
In a triangle $ABC$, the incircle touches the sides $BC, CA, AB$ at $D, E, F$ respectively. If the radius if the incircle is $4$ units and if $BD, CE , AF$ are consecutive integers, find the sides of the triangle $ABC$.