# A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?

Feb 14, 2016

The distance between first and third base is the diagonal of the square ...

#### Explanation:

The length of the diagonal of a square with sides x is $x \sqrt{2}$. [You can use the Pythagorean theorem to prove this!]

For this problem, length of diagonal $= 90 \sqrt{2} \approx 127.3$ feet

hope that helped