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

##1556## (Rounded to two decimals)
We know that our diagonal (##c## or hypotenuse in the image) is ##22##.
As we know that each side of a square is the same length (##a = b##) we can then use the to determine the length of the other sides.
##c = 22##
##c^2 = 484##
##484 = a^2 + b^2##
##a^2 = 484/2 = 242##
##a = sqrt242 ##
##a ~~ 1556##
all sides are the same length so we only need to solve for ##a##