SOLUTION: The diagonal of a square has length (6 square root of 2) ft. Find the length of the side of the square.

Question 1057769: The diagonal of a square has length (6 square root of 2) ft. Find the length of the side of the square.

Found 2 solutions by jorel555, MathTherapy:
Answer by jorel555(1290) (Show Source): You can put this solution on YOUR website!
Let s be the side of the square. Then:
s�+s�=(6√2)�
2s�=72
s�=36
s=+/- 6
Each side of the square is 6 ft. long. ☺☺☺☺
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
The diagonal of a square has length (6 square root of 2) ft. Find the length of the side of the square.

Since the diagonal forms two 45-45-90 special triangles, and with one side of square being S, the hypotenuse is:
We then get:
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