Perpendicular Bisectors in Right Triangles (construction done)

Manipulate the triangle below to investigate properties of the perpendicular bisectors of the 'legs' in a right triangle.
Observations:
[size=150][b][color=#9900ff]What do you notice about the distance from where the perpendicular bisectors intersect (point D) and the endpoints of the hypotenuse? What property does this show always exists in right triangles?[/color][/b][/size]
– Lindsay Baumgartner, Debra Schneider

Information: Perpendicular Bisectors in Right Triangles (construction done)