CN-TST 2011 Problem 1

In $\triangle ABC$ we have $BC>CA>AB$ . The nine point circle is tangent to the incircle, $A$ -excircle, $B$ -excircle and $C$ -excircle at the points $T,T_A,T_B,T_C$ respectively. Prove that the segments $TT_B$ and lines $T_AT_C$ intersect each other.