Verify that the perpendicular bisectors of acute [math]\triangle ABC[/math] are concurrent and that this concurrent point is equidistant from each vertex.

[list=1][br][*]Construct the perpendicular bisector of [math]\overline{AB}[/math].[br][*]Repeat the process for [math]\overline{BC}[/math] and [math]\overline{AC}[/math].[br][*]Locate the point of concurrency. Label this point [math]D[/math].[br][*]Verify that the point of concurrency is equidistant from each vertex.[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.