MathDB

14

Part of 1971 IMO Shortlist

Problems(1)

Length of roken line is greater than 1248

Source:

9/22/2010
A broken line A1A2…AnA_1A_2 \ldots A_n is drawn in a 50×5050 \times 50 square, so that the distance from any point of the square to the broken line is less than 11. Prove that its total length is greater than 1248.1248.
combinatoricslengthpoint setpolygonIMO Shortlist