SHARYGIN 2014 Problem 15

Let $ABC$ be a non-isosceles triangle. The altitude from $A$ , the bisector from $B$ and the median from $C$ concur at point $K$ . a) Which of the sidelengths of the triangle is medial (intermediate in length)? b) Which of the lengths of segments $AK, BK, CK$ is medial (intermediate in length)?