SOLUTION: Find the exact length of the side of a square whose digonal is 3 feet.

Question 174216: Find the exact length of the side of a square whose digonal is 3 feet.
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
pathagorean theorem states where a and b are legs and c is the hypothenuse. In our case of a square both legs (lets call them a) are equal and the hypothenuse is 3
:

:
so our sides are feet each
:

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=72 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.12132034355964, -2.12132034355964. Here's your graph:

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