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problem 6 of Indian Mathematical Olympiad 1989

Source: Plane Geometry (Incircle of a triangle)

September 1, 2009
geometryincenterangle bisectorperpendicular bisectorgeometry unsolved

Problem Statement

Triangle ABC ABC has incentre I I and the incircle touches BC,CA BC, CA at D,E D, E respectively. Let BI BI meet DE DE at G G. Show that AG AG is perpendicular to BG BG.
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