To find the shortest distance between first base and third base, we can use the Pythagorean theorem since the bases form a right triangle.
The diagonal of the square, which is the line connecting first base and third base, is the hypotenuse of the right triangle. To find this distance, we can use the formula for the diagonal of a square:
\(d = s\sqrt{2}\)
Where \(d\) is the diagonal of the square, \(s\) is the side length of the square.
Substitute the given side length of the square (90 feet) into the formula:
\(d = 90\sqrt{2}\)
\(d ≈ 127.3\) feet
Therefore, the shortest distance between first base and third base is approximately 127.3 feet.
A baseball diamond is a square with sides of 90 feet. What is the shortest distance between first base and third base?
Draw a picture:
Solve:
1 answer