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?
To find the distance that the players ran, we can use the Pythagorean theorem, which 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 soccer field is a rectangle, which means the diagonal forms a right triangle with the sides of the rectangle.
The width of the field is 90 meters, and the length is 120 meters. So, the diagonal is the hypotenuse of a right triangle with sides measuring 90 meters and 120 meters.
Using the Pythagorean theorem, we can calculate the length of the diagonal:
Diagonal = √(90^2 + 120^2)
Diagonal = √(8100 + 14400)
Diagonal = √(22500)
Diagonal ≈ 150.5 meters
Therefore, the players ran approximately 150.5 meters.