2

Part of 1973 Poland - Second Round

Problems(1)

9 points in a square

Source: Polish MO Second Round 1973 p2

There are nine points in the data square, of which no three are collinear. Prove that three of them are vertices of a triangle with an area not exceeding

\frac{1}{8}

the area of a square.

combinatoricsgeometrycombinatorial geometry