Question

What is the approximate distance from one corner of the soccer field to the opposite corner?

Answer 1

117

Explanation:

Answer 2

116.62 yards

Explanation:

information that we have about the soccer field:

length:
`l=100yards`

width:
`w=60yards`

the line that crosses from one corner to another is the hypotenuse of a right triangle that is formed with the sides
`l` and
`w`.

So if we call this distance
`h`, by the Pythagorean theorem we will obtain that:

`h^2=l^2+w^2`

solving for
`h`:

`h=√(l^2+w^2)`

substituting the known values:

`h=√(100^2+60^2) \\h=√(10,000+3,600)\\ h=√(13,600)\\ h=116.62yards`

the approximate distance from one corner to the opposite corner found by the Pythagorean theorem is: 116.62 yards