Question 43
Points $K$ and $L$ are marked on the side $AB$ of a triangle $ABC$ so that $AK = KL = LB$. Points $M$ and $N$ are the midpoints of the sides $AC$ and $BC$, respectively. $X$ is the intersection point of the segments $AN$ and $CK$, $Y$ is the intersection point of the segments $BM$ and $CL$. Find the length of $XY$ if $AB = 36$.