A soccer field is a rectangle 90 meters wide and 120 meters long. The soccer team ran from one corner to the other corner, along the diagonal of the soccer field. How far, in meters, did the players run?
We can use the Pythagorean theorem to find the length of the diagonal. The Pythagorean theorem states that in a right triangle, the square of the length 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 width of the soccer field is one side of the right triangle, and the length of the soccer field is the other side. Let's call the length of the diagonal "d".
Using the Pythagorean theorem, we have:
d^2 = 90^2 + 120^2
Simplifying, we get:
d^2 = 8100 + 14400
d^2 = 22500
Taking the square root of both sides, we find:
d ≈ 150.63
So the players ran approximately 150.63 meters.