Construct a circle inscribed in acute [math]\triangle ABC[/math].
[list=1][br][*]Construct the angle bisectors of each angle.[br][*]Construct a perpendicular line from [math]D[/math] to each side.[br][*]Verify that the lengths of the perpendicular segments are equal.[br][*]Construct the inscribed circle with center [math]D[/math].[br][/list][br][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url=http://www.walch.com]www.walch.com[/url] for more information.