# Inscribed circle center problem

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• January 11th 2011, 06:09 PM
elim
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 $\triangle {ABC}$
• January 18th 2011, 01:01 PM
elim
I can prove that if $\angle TCA = \angle TCB$ then we are done. But how to show that these two angles are actually equal?
• January 22nd 2011, 07:41 AM
elim