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

##15,56## (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 ~~ 15,56##

all sides are the same length so we only need to solve for ##a##