Question 165904
Find the exact length of the side of a square whose diagonal is 3 feet.

We are given the diagonal to be 3 feet but no side of the square is given.

Let x = side of the square.

Let 3 = the hypotenuse

We use the Pythagorean Theorem to find x.

x^2 + x^2 = 3^2

2x^2 = 9

Divide both sides by 2.

x^2 = 9/2

Take the square root of both sides.

x = sqrt{9/2}

x = sqrt{9}/sqrt{2}

x = 3/sqrt{2}

We rationalize the denominator.

Final answer:

x = 3(sqrt{2})/2