SOLUTION: The hypotenuse of a right triangle is 4cm less than twice as long as one of the other side. If the third side is 16cm long,how long is the length of the hypotenuse?

Question 357042: The hypotenuse of a right triangle is 4cm less than twice as long as one of the other side. If the third side is 16cm long,how long is the length of the hypotenuse?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!

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=3136 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 12, -6.66666666666667. Here's your graph:

-----------------
b = x
b = 12 (Ignore the negative solution)
hyp = 20 cm

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