MathDB

6

Part of 1989 India National Olympiad

Problems(1)

problem 6 of Indian Mathematical Olympiad 1989

Source: Plane Geometry (Incircle of a triangle)

9/1/2009
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.
geometryincenterangle bisectorperpendicular bisectorgeometry unsolved