In rectangle ABCD, the length of side AB is 10 units, and the length of side AD is 6 units. Point E is the midpoint of side AB, and point F is the midpoint of side AD. Calculate the distance between points E and F.
Use the coordinate system where point A is at the origin (0, 0), point B is at (10, 0), point C is at (10, 6), and point D is at (0, 6).