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