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Math Help - More of those dreaded circles

  1. #1
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    More of those dreaded circles

    Yup, another circle question and it seems as though the question list is never-ending. Well, I'm stuck. Again... but here goes
    TA and TB are tangents to the circle. C is a point on the circle. P, Q and R are the feet of the perpendicular from C to the three sides of triangle ABT
    a) Name three groups of concyclic points (got this)
    b) hence show that angle CRQ = angle CQP and angle CQR = angle CQP
    c) if QC = 9cm and PC = 10cm, find CR.




    Any help appreciated!
    Last edited by Geometor; December 29th 2007 at 09:23 AM.
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  2. #2
    Lord of certain Rings
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    Quote Originally Posted by Geometor View Post
    Yup, another circle question and it seems as though the question list is never-ending. Well, I'm stuck. Again... but here goes:
    a) Name three groups of concyclic points (got this)
    b) hence show that angle CRQ = angle CQP and angle CQR = angle CQP
    c) if QC = 9cm and PC = 10cm, find CR.



    Any help appreciated!
    Yikes! Where is C?
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  3. #3
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    thank you for submitting that error
    the correct picture has now been put in
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  4. #4
    Lord of certain Rings
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    Quote Originally Posted by Geometor View Post
    thank you for submitting that error
    the correct picture has now been put in
    You are welcome

    You have not mentioned how you have chosen C. Is it >any< point inside the triangle. Is it some special point?
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  5. #5
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    aha I've snuck in the description too
    sorry about that!
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