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A soccer field is 100 yd wide and 130 yd long. find the length of the diagonal of such a field. give an exact answer as a radical expression and an approximation to three decimal places.

2 Answers

2 votes

Answer:

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Explanation:

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User Jahidul Islam
by
5.6k points
3 votes
we know that
applying the Pythagorean theorem
c²=a²+b²
c is the length of the diagonal
a=100 yd
b=130 yd
c
²=100²+130²-------> c²=26900---------> c=√26900 units----> c=10√269 units

the answer is
the length of the diagonal is 10√269 units or 164.012 units
User Atevm
by
5.2k points