Question 3
Point $M$ is the midpoint of the side $BC$ of an acute-angled triangle $ABC$, $N$ and $K$ are the feet of its altitudes $AN$ and $CK$, $H$ is the orthocenter of $ABC$. The bisector of the angle $ACB$ meets the segment $AH$ at point $T$.
Find the length of the circumradius of the triangle $NBK$ if $CT \parallel MH$, $TH = 10$.
(Slovenia, 2010)
Find the length of the circumradius of the triangle $NBK$ if $CT \parallel MH$, $TH = 10$.
(Slovenia, 2010)