When mapping out a field in the late 1800s the person drawing the plans had sloppy hand writing,the result was that the 60.0 feet looked to the workers to be 60.6 so they measured it that way and it stuck...
60 feet 6 inches to home, I dont know the others right now. But I believe you could use the length from home to the mound along w/ that the bases are 90 feet to find the answer with pythagorean...