SOLUTION: The diagonal of a square is 2 cm. longer than its side. Find its side.

Question 210961: The diagonal of a square is 2 cm. longer than its side. Find its side.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Use the Pythagorean theorem:
In the square, let the sides be s and the diagonal be d.
But d = s+2, so substitute:
Simplify.
Subtract from both sides.
Subtract (4s+4) from both sides.
Use the quadratic formula to solve for s.
and in this equation, a = 1, b = -4, and c = -4. Make the appropriate substitutions:
Evaluate:

or
or Discard the negative solution as lengths are positive values.
cm.
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