# SOLUTION: show a complete solution find the exact length of the side of a square whose diagonal is 3 ft. not sure how to set this up please help with step by step

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 Click here to see ALL problems on Quadratic Equations Question 81578: show a complete solution find the exact length of the side of a square whose diagonal is 3 ft. not sure how to set this up please help with step by stepAnswer by tutorcecilia(2152)   (Show Source): You can put this solution on YOUR website!If the rectangle is a square, than all of the sides (x) are equal. Since the triangles formed are right triangles and the hypotenuse is the diagonal, use the Pythagorean Theorem to solve: a^2+b^2=c^2 . a=one side=x b=another side=x c=the hypotenuse=3 . Plug-in the values and solve for the x-term x^2+x^2=3^2 2x^2=9 2x^2/2=9/2 x^2=9/2 = x= x= [rationalize the denominator] x= . check by plugging all of the values back into: a^2+b^2=c^2 +=3^2