Everyone knows bases in baseball are 90' apart.
But it's NOT true.
It's 90' from the CENTER of 2nd base to the 3rd base line. And 3rd base is ENTIRELY in fair territory. That means it's 90' - 15" (width of 3rd) - 7.5" (1/2 width of 2nd) So: it's 88' 1.5" BETWEEN the bases.
Same for 1st to 2nd: 88" 1.5"
Now, I know what you’re thinking: What about home plate, then?
Thats surprisingly tricky. The plate is entirely in fair territory. 3rd and 1st are INSIDE the base line, with their far outfield edge being 90' from the OPPOSITE foul line.
So, again, it's 90'-15" (width of 1st and 3rd bags), but....
home plate is 17"! If you want the point where home plate is closest to 1st/3rd on the baseline, you have to figure the hypoteneuse of a right triangle with two 8.5" legs.
That is 12" (to one decimal).
Thus, it is 90'-15"-12"=87' 9" between home and first, or home and third.
And it's less than that if you measure the SHORTEST distance from 1st or 3rd to home.
That's another right triangle, and the answer is left as an exercise to the reader.
The point is that the bases ARE NOT 90 feet apart, and the distance from home to 1st and 3rd is DIFFERENT from the distance BETWEEN 1st, 2nd, and 3rd...
I had not known that. But it's clear when you look at the diagram.