The length of the diagonal of the football field is 116.62 yards.
What is the Pythagorean theorem?
The Pythagorean theorem states that in a right-angled triangle, the sum of the squares of the two smaller sides is equal to the square of the hypotenuse.
The length of the diagonal can be found as follows:
A football field is rectangular in shape.
The diagonal of a rectangle divides it into two right-angled triangles.
Therefore, the diagonal becomes the hypotenuse of the right-angled triangles.
Therefore, diagonal² = length² + width²
⇒ diagonal² = 10,000 + 3600 yards²
⇒ diagonal² = 13,600 yards²
⇒ diagonal = 116.62 yards
Therefore, the length of the diagonal of the football field is 116.62 yards.
Learn more about the Pythagorean theorem here: https://brainly.com/question/16176867
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