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Math Help - Inscribed circle center problem

  1. #1
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    Inscribed circle center problem

    As in the figure,
    \odot O,\; AB,\; CT are tangency to both \odot O_1 and \odot O_2 with T the point of tangency to them and A,B,C are on odot O. Show that T is the incentre of \triangle {ABC}
    Attached Thumbnails Attached Thumbnails Inscribed circle center problem-004.gif  
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  2. #2
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    I can prove that if \angle TCA = \angle TCB then we are done. But how to show that these two angles are actually equal?
    Last edited by elim; January 18th 2011 at 11:56 PM.
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  3. #3
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    Inscribed circle center problem-003.gif
    Last edited by elim; January 22nd 2011 at 08:53 AM.
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