SOLUTION: A baseball diamond is actually a square, 90 feet on each side. What is the distance from third base to first base

Algebra ->  Radicals -> SOLUTION: A baseball diamond is actually a square, 90 feet on each side. What is the distance from third base to first base      Log On


   



Question 339111: A baseball diamond is actually a square, 90 feet on each side. What is the distance from third base to first base
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Since the baseball diamond is in the shape of a square, a line from third base to first base would be the diagonal of this square.
The sides (a and b) of the square are 90 feet in length so we can use the Pythagorean theorem to find the length of the diagonal (c).
c%5E2+=+a%5E2%2Bb%5E2 Substitute a = 90 and b = 90.
c%5E2+=+90%5E2%2B90%5E2
c%5E2+=+8100%2B8100
c%5E2+=+16200 Now take the square root of both sides.
c+=+127.3
The distance from third base to first base is 127.3 feet.