Let ABC be a triangle and a circle T' be drawn lying inside the triangle touching its incircle T externally and also touching the two sides AB and AC. Show that the ratio of the radii of the circles T' and T is equal to tan square((pi-A)/4).
Let ABC be a triangle and a circle T' be drawn lying inside the triangle touching its incircle T externally and also touching the two sides AB and AC. Show that the ratio of the radii of the circles T' and T is equal to tan square((pi-A)/4).