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 radica

Question

marishachu [46]

2 years ago

14

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 radica

l expression and an approximation to three decimal places.

Mathematics

1 answer:

Misha Larkins [42] · Answer 1 · 2022-05-05T10:42:51+03:00

We know that
<span>applying the Pythagorean theorem
c</span>²=a²+b²
c is the <span>length of the diagonal
a=100 yd
b=130 yd
c</span>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