SOLUTION: a soccer field is 120 yards long and 80 yards wide. what is the length of the diagonal of the field

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Question 548225: a soccer field is 120 yards long and 80 yards wide. what is the length of the diagonal of the field
Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
If we were to draw a picture we would see that we have a right-angled triangle.
This means we can use Pythagorean Theorem to determine the length of the diagonal (which in our case is the hypotenuse).
a%5E2%2Bb%5E2=c%5E2
120%5E2%2B80%5E2=c%5E2
14400%2B6400=c%5E2
20800=c%5E2
To eliminate the square, we must take the square root of both sides leaving:
c=sqrt%2820800%29
This is around 144.22. Therefore the diagonal is around 144.22 yards in length.