A soccer field is a rectangle 90 meters wide and 120 meters long.%C2%A0 The soccer team ran from one corner to the other corner, along the diagonal of the soccer field.%C2%A0 %C2%A0 How far, in meters, did the players run?
To find the length of the diagonal, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (in this case, the diagonal) is equal to the sum of the squares of the lengths of the other two sides.
Let the width of the field be the shorter side (90 meters) and the length of the field be the longer side (120 meters).
Using the Pythagorean theorem, we have:
Diagonal^2 = Width^2 + Length^2
Diagonal^2 = 90^2 + 120^2
Diagonal^2 = 8100 + 14400
Diagonal^2 = 22500
Taking the square root of both sides, we have:
Diagonal = sqrt(22500)
Diagonal = 150 meters
Therefore, the players ran a distance of 150 meters.