Final answer:
The distance between home plate and second base is 0 feet.
Step-by-step explanation:
To find the distance between home plate and second base, we can use the Pythagorean theorem since the 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. Home plate and second base are two adjacent corners of the square, so we can consider them as the two sides of a right triangle.
Let's label the sides of the right triangle as follows:
- Side A: Distance between home plate and second base
- Side B: Distance between home plate and first base (also 90 feet)
- Side C: Distance between first base and second base (also 90 feet)
Using the Pythagorean theorem, we have:
A^2 + B^2 = C^2
A^2 + 90^2 = 90^2
A^2 = 90^2 - 90^2
A^2 = 8100 - 8100
A^2 = 0
Therefore, the distance between home plate and second base (Side A) is 0 feet.