SOLUTION: a right triangle has a hypotenuse that is 59 miles long. One side is 1.05 longer than the other. What are the lengths of the two legs

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Question 857417: a right triangle has a hypotenuse that is 59 miles long. One side is 1.05 longer than the other. What are the lengths of the two legs
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
a right triangle has a hypotenuse that is 59 miles long. One side is 1.05 longer than the other. What are the lengths of the two legs
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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=27843.59 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 41.1909966319876, -42.2409966319876. Here's your graph:

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x =~ 41.191 miles (the short leg)
x + 1.05 =~ 42.241 miles


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