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Math Help - the length of hypotenuse

  1. #1
    rcs
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    the length of hypotenuse

    In a right triangle, the medians to the legs are sqrt 15 and sqrt 20 long. How long is the hypotenuse?

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  2. #2
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    Re: the length of hypotenuse

    a^2 + b^2 = c^2

    \left(\frac{a}{2}\right)^2 + b^2 = 20

    \left(\frac{b}{2}\right)^2 + a^2 = 15

    solve for c
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  3. #3
    rcs
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    Re: the length of hypotenuse

    Quote Originally Posted by skeeter View Post
    a^2 + b^2 = c^2

    \left(\frac{a}{2}\right)^2 + b^2 = 20

    \left(\frac{b}{2}\right)^2 + a^2 = 15

    solve for c


    2 sqrt 7

    is this correct sir?
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  4. #4
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    Re: the length of hypotenuse

    Hello, rcs!

    You are right! . . . Good work!
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