SOLUTION: the playing surface of a soccer field is 300 ft long and 160 ft wide. if a player runs from one corner of the field to the opposite corner, how many ft does he run?

Question 775962: the playing surface of a soccer field is 300 ft long and 160 ft wide. if a player runs from one corner of the field to the opposite corner, how many ft does he run?
Answer by tanjo3(60) (Show Source): You can put this solution on YOUR website!
He runs along the diagonal of the rectangle made by the soccer field. This, along with two sides, creates a right triangle. We can use the Pythagorean theorem.

where c is the length of the diagonal (hypotenuse).

c^2 = 300^2 + 160^2
c^2 = 90000 + 25600
c^2 = 115600
c = 340

The player runs 340 ft.
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