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Math Help - Please help with geometry circle problem!

  1. #1
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    Please help with geometry circle problem!

    Ok, I am having some trouble with 24. If someone could help me out, that'd be great.

    A circle can be drawn through points X, Y, and Z. XW=8, YW=6, ZW=12.

    Find the radius of the circle, and the distance from the center to point W.

    I know the answers, 5 root 5, and root 29, respectively. The problem is that I am having some trouble reaching those answers.

    Thanks! The problem is attached as well.Please help with geometry circle problem!-geo.jpg
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  2. #2
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    Re: Please help with geometry circle problem!

    Guys?
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  3. #3
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    Re: Please help with geometry circle problem!

    Anyone? Please
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  4. #4
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    Re: Please help with geometry circle problem!

    There are thirty people viewing this thread. Can someone help?
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  5. #5
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    Re: Please help with geometry circle problem!

    I don't think there's enough information given in the question tbh...
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  6. #6
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    Re: Please help with geometry circle problem!

    Quote Originally Posted by Prove It View Post
    I don't think there's enough information given in the question tbh...
    I know why you would think that, but I am positive that there is a solution. Thanks though.
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  7. #7
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    Re: Please help with geometry circle problem!

    Quote Originally Posted by Xonian View Post
    There are thirty people viewing this thread. Can someone help?
    the center of the circle is going to be equidistant from X and Z. So what's that tell you about it's x coordinate.

    Once you find that you have to find the y coordinate of the center by ensuring that the distance from the center to X is equal to the distance from the center to Y.

    see if you can work it out now.
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  8. #8
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    Re: Please help with geometry circle problem!

    use coordinate geometry.
    xz is the x axis
    perpendicular bisector of xz is the y axis
    write the equation of xy and its perpendicular bisector.This line passes thru the y axis at the center of circle.Radius and OW calculate easily
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