A football field is 100 yards long from goal to goal and 53 yards wide from side to side. What is the longest possible straight line on the football field?

1 Answer
May 14, 2018

#113.2# yards is the length of the diagonal across the freld.

Explanation:

The longest line will be the diagonal from one corner to the opposite corner. This is the hypotenuse of the right angled triangles that are formed.

You can find the length by using Pythagoras' Theorem.

#h^2 = 100^2+53^2#

#h^2= 12,809#

#h = sqrt12809#

#h = 113.2# yards