If squares are built off any two sides of a triangle, [b][color=#9900ff]the segments[/color][/b] that connect the centers of these two squares to the midpoint of the third side of the triangle [color=#9900ff][b]are both congruent and perpendicular. [/b][/color] [br][br]For more information, see this [url=https://twitter.com/gogeometry/status/855251471557939200]tweet[/url] from [url=https://twitter.com/gogeometry]Antonio Gutierrez[/url].