A baseball diamond is a square with each side 90 feet long. What is the straight-line distance from third base to first base? (Round your answer to the nearest tenth.)

a^2 + b^2 = c^2

90^2 + 90^2 = c^2

8,100 + 8,100 = c^2

16,200 = c^2

127.3 = c

To find the straight-line distance from third base to first base on a baseball diamond, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the straight-line distance from third base to first base forms the hypotenuse of a right triangle, with the sides of the square representing the other two sides. Since the sides of the square are each 90 feet long, we can use the Pythagorean theorem to find the straight-line distance.

Therefore, we can calculate it as follows:

Distance = sqrt(90^2 + 90^2)

Now, let's calculate the answer.

Distance = sqrt(8100 + 8100)
Distance = sqrt(16200)
Distance ≈ 127.3 (rounded to the nearest tenth)

So, the straight-line distance from third base to first base on a baseball diamond is approximately 127.3 feet.