Verify that the angle bisectors of acute [math]\triangle ABC[/math] are concurrent and that this concurrent point is equidistant from each side.
[list=1] [*]Construct the angle bisector of [math]\angle A[/math]. [*]Repeat the process for [math]\angle B[/math] and [math]\angle C[/math]. [*]Locate the point of concurrency. Label this point as [math]D[/math]. [*]Verify that the point of concurrency is equidistant from each side. [*]State your conclusion. [/list]