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Math Help - Triangle competition problem

  1. #1
    Member Veronica1999's Avatar
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    Triangle competition problem

    Please find attached problem and my work.
    I am stuck.
    Attached Thumbnails Attached Thumbnails Triangle competition problem-tria.pdf  
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  2. #2
    Super Member
    earboth's Avatar
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    Quote Originally Posted by Veronica1999 View Post
    Please find attached problem and my work.
    I am stuck.
    1. Have a look here: Intersecting Chords Theorem

    2. The radius of your circle is r = PB = 3. Produce BP until it intersect the circle in F.

    3. According to the chord theorem you'll get:

    \overline{FD} \cdot \overline{DB} = \overline{AD} \cdot \overline{DC}
    Attached Thumbnails Attached Thumbnails Triangle competition problem-sehnensatzanwendg.png  
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  3. #3
    Member Veronica1999's Avatar
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    Thank you!!!!
    How did you become so good at geometry?
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