A baseball field is in the shape of a square. The distance between each pair of bases along the edge of the square is 90 feet. What is the distance between home plate and second base? StartRoot 2 EndRoot feet

Step-by-step explanation:

We are finding the length of the diagonal of the square.

All edges of the square are of the same length (90 ft), and all interior angles are 90 degrees.

By the Pythagorean Theorem, (90 ft) ^2 + (90 ft) ^2 = (length of diagonal) ^2

Thus, (length of diagonal) ^2 = 2 (90 ft) ^2, or

(length of diagonal) = (90 ft) √2 ft, or 90√2 ft.