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Math Help - Leg squared theorem

  1. #1
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    Leg squared theorem

    I took notes in class on this theorem, but still don't understand how to do it. Can someone explain how this works/what to do? Leg squared theorem-math.png
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  2. #2
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    Re: Leg squared theorem

    Quote Originally Posted by jgolden1 View Post
    I took notes in class on this theorem, but still don't understand how to do it. Can someone explain how this works/what to do? Click image for larger version. 

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    What you have are three similar right triangles. The tedious part is figuring the correct correspondences.
    Here is one $\Delta ACB \simeq \Delta ADC$ .
    Can you find two more?
    Then read off the corresponding proportionals and cross multiply.
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  3. #3
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    Re: Leg squared theorem

    You can prove h^2=xy by using pythagoras' theorem for the big triangle and the two smaller triangles.
    and you can prove that a^2=yc and b^2=xc by using h^2=xy and pythagoras' theorem for the smaller triangles
    Last edited by Shakarri; June 1st 2014 at 01:24 PM.
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