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

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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) About Me  (Show Source):
You can put this solution on YOUR website!
Let s be the side of the square. Then:
s²+s²=(6√2)²
2s²=72
s²=36
s=+/- 6
Each side of the square is 6 ft. long. ☺☺☺☺

Answer by MathTherapy(10552) About Me  (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: S+%2A+sqrt%282%29

We then get: