SOLUTION: The diagonal of a square is 2 meters longer than a side. Find the length of a side.

Question 201933: The diagonal of a square is 2 meters longer than a side. Find the length of a side.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let s = the length of the side of the square, then the length of the diagonal is:
.
Using the Pythagorean relationship for the sides of a right triangle () in which c is the diagonal of the square, so: and...
Expand the left side.
Subtract from both sides.
Use the quadratic formula to solve: where: a = -1, b = 4, and c = 4

or Discard the negative (green) solution as the length of the side of a square is a positive value (red).
This is the exact value of the side of the square.
This is the approximate value.
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