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Math Help - Lengths of Triangles

  1. #1
    Newbie Crayola's Avatar
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    Lengths of Triangles

    I need help proving CP x AB = 1 if CA = PB = 1.

    http://img707.imageshack.us/img707/2598/dfgaq.jpg
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  2. #2
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    Re: Lengths of Triangles

    Hello, Crayola!

    Is some information missing?


    \text{Prove: \;if }CA = PB = 1\text{, then }CP \times AB \:=\:1.

    Code:
                  C
                  *
                 *  *
                *     *
             1 *        *   P
              *           *
             *        *     *  1
            *     *           *
           *  *                 *
        A *  *  *  *  *  *  *  *  * B

    This is true if AP bisects \angle A.

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  3. #3
    Newbie Crayola's Avatar
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    Re: Lengths of Triangles

    Quote Originally Posted by Soroban View Post
    Hello, Crayola!

    Is some information missing?



    This is true if AP bisects \angle A.

    I know it is true, and AP does bisect angle A. I need help proving it though.
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  4. #4
    Newbie Crayola's Avatar
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    Re: Lengths of Triangles

    Quote Originally Posted by Crayola View Post
    I know it is true, and AP does bisect angle A. I need help proving it though.
    Like how can I prove this?
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  5. #5
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    Re: Lengths of Triangles

    HI crayola,
    Google angle bisector theorem proof. The theorem states that if your angle A is bisected by AP then CP / PB = AC /AB.Proof requires construction lines
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