Choose any ten points from the interior of a square with side length $3$. Show that the distance of some pair of these points does not exceed $\sqrt{2}$.
Can someone help me?
Choose any ten points from the interior of a square with side length $3$. Show that the distance of some pair of these points does not exceed $\sqrt{2}$.
Can someone help me?
Hint: divide the square $3 \times 3$