In baseball, the length of the path between each pair of consecutive bases is 90 feet. The paths form right angles. How far does the ball need to travel if it is thrown from home plate directly to second base?

The path from home plate to first base and the path from first base to second base are each 90 feet and meet at a right angle. These form the legs of a right triangle, with the direct throw to second base as the hypotenuse. By the Pythagorean theorem, the distance is √(90² + 90²) = 90√2 ≈ 127.3 feet, so the best answer is 127.3 feet.

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