maddie throws a baseball fom third base to first base. The four go foot lines between the bases from a square which number is the best estimate of how far maddie throws the baseball

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To estimate the distance Maddie throws the baseball from third base to first base, we can consider the dimensions of a baseball diamond.

A baseball diamond has 90 feet (27.4 meters) between each base. The bases form a square, so the distance from third base to first base (along the base paths) is the same as the distance from second base to home plate. Therefore, we only need to calculate the distance from home plate to second base.

To do this, we can use the Pythagorean theorem, as the distance from home plate to second base can be considered as the hypotenuse of a right triangle. The other two sides of the triangle are the distances from home plate to first base (90 feet) and from first base to second base (90 feet).

Using the Pythagorean theorem (a^2 + b^2 = c^2), we can calculate the distance as follows:

Distance^2 = (90)^2 + (90)^2
Distance^2 = 8100 + 8100
Distance^2 = 16200
Distance ≈ √16200
Distance ≈ 127.28 feet (38.78 meters)

Therefore, the best estimate of how far Maddie throws the baseball from third base to first base is approximately 127.28 feet (38.78 meters).