O is a point in the plane of tringle ABc. AO meets BC in D Show that component along AB and AC respectively of the forces represented by AD are
1) 1/2 AB and 1/2 Ac if O is te centriod.
2) \(b\over(b+c) \) AB and \(c\over(b+c)\) AC if O is the incentre.
3) \(tanB\over(tanB+tanC)\)AB and \(tanC\over(tanB+tanC)\) AC if O is the orhogonal of the triangle.