On a baseball diamond, the paths from one base to the next are at right angles. (a square, just look at it from one of the corners)

90 ft from home to first; turn a right angle;

90 ft from first to second; turn a right angle;

90 ft from second to third; turn a right angle;

90 ft from third to home

catch your breath (or turn a right angle if you want to go around again)

Now, draw a line connecting home plate to second base (should cut straight across the baseball diamond).

Pythagorean theorem says that for every right triangle where the two shorter sides (legs) are "a" and "b" and the longer side (hypotenuse) is "c", when you square the lengths of the legs and add them together, it will equal the square of the hypotenuse. Or more simply:

a^2 + b^2 = c^2

You have a right triangle with the two short legs (home to 1st; 1st to 2nd) measuring the 90 ft. The hypotenuse (home to 2nd) will be found with:

a^2 + b^2 = c^2

90^2 + 90^2 = c^2

8100 + 8100 = c^2

16200 = c^2

c = 127.3

So from home to 2nd is 127.3 ft.