2. (2 points) Point $M$ lies on the side of a regular hexagon with side length 10. Find the sum of the distances from point $M$ to the lines containing the other sides of the hexagon.
Answer: $30 \sqrt{3}$.

Solution: The distance from a point on one side to the opposite side is equal to the distance between these sides and, consequently, the distance between two vertices of the hexagon located one apart. This distance is obviously equal to $2 \cdot \frac{\sqrt{3}}{2} \cdot 12=10 \sqrt{3}$.

Also, if we drop perpendiculars from our point to the lines containing two opposite sides of the hexagon, they form one segment, and its length will also be equal to the distance between these lines, that is, $10 \sqrt{3}$. Thus, we get the answer $30 \sqrt{3}$.