A baseball diamond is in the shape of a square. The distance from home plate to first base is 27.6 m. What is the distance from home plate to 2nd base?

Question

I looked in the answer key and it said it was 39.03m and I am really confused. 

Answer 1

The shape from home plate to first base, then second, and back to home is a right triangle where the 90 degree angle is at first base. 

The length of both sides (home to first base and first base to second) is given in the problem as 27.6 m.

Apply pythagorean theoremn to find the length of the hypotenuse (from home to second base). 

r = square root of (27.6^2 + 27.6^2) 

r = 39.03 m