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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?

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Hint: divide the square $3 \times 3$

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+1: awesome hint! – Douglas S. Stones Oct 13 '12 at 5:03
+2: awesome hint! – ᴊ ᴀ s ᴏ ɴ Oct 13 '12 at 7:21
+3: this is great. – Thomas Oct 13 '12 at 11:34

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