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Math Help - Geometry problems!

  1. #1
    Newbie
    Joined
    May 2007
    Posts
    6

    Geometry problems!

    Okay so i got a giant packet full of everything and i don't get these 3 questions

    There is a link attached to where the document is and it is on page 54 questions 4, 5 and 6

    the archeology problem and thet pizza delivery problem.

    please, please help me out!

    http://mydragonnet.hkis.edu.hk/proce...25%2Fchp10.pdf
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  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,659
    Thanks
    600
    Hello, ncbabe!

    Here's some help . . .


    Code:
    (4)
    
                    C
                  * * *
              *    3|     *
           A* - - - * - - - *B
           *  *    D|  12 *  *
                *   |   *R
          *       * | *       *
          *         *         *
                    O

    We have: . OA = OB = OC = R\text{ (radius)}
    . . . .and: . AD = DB = 12

    Since CD = 3, then: . DO = R-3

    In right triangle BDO, we have: . (R-3)^2 + 12^2 \:=\:R^2

    . . which simplifies to: . 6R \:=\:153 \quad\Rightarrow\quad\boxed{ R \:=\:\frac{51}{2}}



    Code:
    (5)
                      C
                  * * *
              *       |   *
            *         |     *
           *          |      *
                      |P 
         A* - - - - - o - - - *B
          *   12.8    |  2.8  *
          *           |       *
                      |
           *     22.4 |      *
            *         |     *
              *       |   *
                  * * *
                      D
    We're expected to know this theorem.

    With two intersecting chords, the product of the segments of one chord
    . . equals the product of the segments of the other chord.

    In this problem: . AP)(PB)" alt="(CP)(PD) \:=\AP)(PB)" />

    So we have: . 12.8)(2.8)\quad\Rightarrow\quad\boxed{CP \:=\:1.6} " alt="(CP)(22.4) \:=\12.8)(2.8)\quad\Rightarrow\quad\boxed{CP \:=\:1.6} " />

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