SOLUTION: The length of the hypotenuse of a right triangle is 37 cm and it's area is 210cm^2.Find the length of the legs of the right triangle.

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Question 1187106: The length of the hypotenuse of a right triangle is 37 cm and it's area is 210cm^2.Find the length of the legs of the right triangle.
Answer by Alan3354(69443) (Show Source):
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The length of the hypotenuse of a right triangle is 37 cm and it's [sic] area is 210cm^2.Find the length of the legs of the right triangle.
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it's = it is
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a*b/2 = 210 ---> b = 420/a
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Sub x for a^2

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=1872481 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1368.69313793694, 0.306862063057565. Here's your graph: