Question 37
Segments $AD=10,$ $BE=6,$ $CF=24$ are drawn from the vertices of triangle $ABC,$ each perpendicular to a straight line $RS,$ not intersecting the triangle. Points $D,$ $E,$ $F$ are the intersection points of $RS$ with the perpendiculars. If $x$ is the length of the perpendicular segment $GH$ drawn to $RS$ from the intersection point $G$ of the medians of the triangle, then $x$ is: