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

Question

asked Aug 7, 2021 123k views

2 Answers

Ledniov · Answer 1 · 2021-08-12T21:12:27+0000

Answer:

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
and
.

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

h^2=l^2+w^2

solving for
:

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