SOLUTION: The hypotinuse of a right triangle is 8cm long. One leg is 2 cm longer than the other. find the length of the longer leg to the nearest tenth. Thank you

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Question 40361: The hypotinuse of a right triangle is 8cm long. One leg is 2 cm longer than the other. find the length of the longer leg to the nearest tenth.
Thank you
Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!
One leg =
Other leg =
Equation:

Use pythagorus formula:





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=496 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 4.56776436283002, -6.56776436283002. Here's your graph:

is about 4.6
is about 6.6
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