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Math Help - geometry

  1. #1
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    geometry

    plz help...


    Suppose we are given triangle ABC, and let D lies in (AB) be such that |angleDCA| = |angleABC|.
    Prove that d(A, C) is the mean proportional between d(A, B) and d(A, D).
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  2. #2
    MHF Contributor red_dog's Avatar
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    We have \triangle ABC\sim\triangle ACD
    Then \displaystyle\frac{AC}{AD}=\frac{AB}{AC}\Leftright  arrow AC^2=AB\cdot AD
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  3. #3
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    thanks, but I don't understand how

    triange ABC ~ triangle ACD
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  4. #4
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by jenjen View Post
    thanks, but I don't understand how

    triange ABC ~ triangle ACD
    the symbol ~ is a notation for similar, i.e. when he wrote \Delta ABC \sim \Delta ACD, then he meant that the two triangles are similar..
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  5. #5
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    I understand that symbol, but I just don't know how they can be similar. Thanks
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  6. #6
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    Ohhhhhh, I got it now. kool!
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