Inscribed and Circumscribed Circles in a Triangle

Below are [i]inscribed [/i]and [i]circumscribed circles[/i] constructed in triangle [i]ABC[/i].[br][br]Drag any of the vertices of triangle [i]ABC[/i].[br][br]How do you locate the centers of these circles? [br][br]Hint: What is a [i]circumcenter[/i]? ...an [i]incenter[/i]?[br][br]Create your own image using Geogebra.

Information: Inscribed and Circumscribed Circles in a Triangle