A soccer field is 100m long and 75m wide how lond is the diagonal of the field

This forms a right triangle with the diagonal being the hypotenuse.

Use the Pythagorean Theorem.

To find the length of the diagonal of a rectangular field, you can use the Pythagorean theorem.

According to the theorem, in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the length and width of the soccer field form the two sides of the right-angled triangle, and the diagonal is the hypotenuse.

So, to find the diagonal of the field, we can use the Pythagorean theorem as follows:

Diagonal^2 = Length^2 + Width^2

Diagonal^2 = 100m^2 + 75m^2
Diagonal^2 = 10000m^2 + 5625m^2
Diagonal^2 = 15625m^2

Now, to find the length of the diagonal, we need to take the square root of both sides of the equation:

Diagonal = √(15625m^2)
Diagonal ≈ 125m

Hence, the length of the diagonal of the soccer field is approximately 125 meters.