SOLUTION: a=x b=x+12 C=60 help would be sooooo appreciated

Question 984505: a=x
b=x+12
C=60
help would be sooooo appreciated
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Right triangle with sides a and b and hypotenuse c
You know that
So plug in the given values

Solved by pluggable solver: SOLVE quadratic equation with variable

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=7056 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 36, -48. Here's your graph:

That yields two solutions. But one is negative. A triangle can't have a side with negative length, so use the positive one. Once you know a, then b = 12 more
a=36
b=48
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