Question

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?
√2 feet

Answer 1

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

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.