The length of the diagonal of a square is 22. What is the length of each side?

1 Answer
May 15, 2018

#11sqrt(2)#

Explanation:

The formula for the diagonal of a square is:

#d = s sqrt(2)#

In this formula, #d# represents the diagonal and #s# represents a side length. Since we already have the length of the diagonal, we can substitute it for #d# and solve for #s#:

#22/sqrt(2) = (s sqrt(2))/sqrt(2)#

#22/sqrt(2) * sqrt(2)/sqrt(2) = s#

#(22sqrt(2))/2 = s#

#11sqrt(2) = s#