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.
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
