SOLUTION: The area of a square is 36 cm squared. Find the length of a diagonal of the square. Express your answer in radical form.

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Question 38827: The area of a square is 36 cm squared. Find the length of a diagonal of the square. Express your answer in radical form.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
For a square, all the sides are equal of length. If the area is 36cm^2, the sides must be six centimeters each.
c%5E2+=+a%5E2+%2B+b%5E2
c%5E2+=+6%5E2+%2B+6%5E2
c%5E2+=+36+%2B+36
c%5E2+=+72
c+=+sqrt%2872%29 or c+=+6sqrt%282%29