You're looking at the square the wrong way. While from home to second the distance is 90 x radical 2, I'm hoping folks can cut the 90-foot square into two halves. The top half would be from third to second to first with the diagonal to third, the bottom half from first to home to third, with the same diagonal. The rubber does not rest on this diagonal, so a 45* angle isn't possible. The rubber sits in front of the diagonal.
I'll leave it up to the math geniuses to figure out just how much away from the diagonal the rubber is.