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Find the sides

Source: Indian RMO 1994 Problem 2

October 25, 2005
geometryincenterarea of a triangleHeron's formula

Problem Statement

In a triangle ABCABC, the incircle touches the sides BC,CA,ABBC, CA, AB at D,E,FD, E, F respectively. If the radius if the incircle is 44 units and if BD,CE,AFBD, CE , AF are consecutive integers, find the sides of the triangle ABCABC.
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