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

1 Answer
May 15, 2018

11sqrt(2)112

Explanation:

The formula for the diagonal of a square is:

d = s sqrt(2)d=s2

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

22/sqrt(2) = (s sqrt(2))/sqrt(2)222=s22

22/sqrt(2) * sqrt(2)/sqrt(2) = s22222=s

(22sqrt(2))/2 = s2222=s

11sqrt(2) = s112=s