Question

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.

Answer 1

We know that
applying the Pythagorean theorem
c²=a²+b²
c is the length of the diagonal
a=100 yd
b=130 yd
c²=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