Baron Munchausen claims that he has drawn a polygon and chosen a point inside the polygon in such a way that any line passing through the chosen point divides the polygon into three polygons. Could the Baron’s claim be correct?
Problem
Source: 44th International Tournament of Towns, Junior A-Level P3, Fall 2022
Tags: combinatorics, geometry, Tournament of Towns, Baron Munchausen
NO_SQUARES
24.07.2023 19:28
melowmolly wrote: NO_SQUARES wrote:
Then answer is yes!
why For example, look in official solutions, 7th page (there are 2 pictures, only they are important in solution) Sorry, I can't add these images here at the moment... Maybe I'll do it later
melowmolly
25.07.2023 05:06
NO_SQUARES wrote: melowmolly wrote: NO_SQUARES wrote:
Then answer is yes!
why For example, look in official solutions, 7th page (there are 2 pictures, only they are important in solution) Sorry, I can't add these images here at the moment... Maybe I'll do it later i cant read russian sir... can u translate pls
egg185
25.07.2023 05:31
Looking forward for translation too QwQ
NO_SQUARES
25.07.2023 15:13
Look at the pictures below In second picture important that that a triples of points $(A, O, A')$, $(B, O, B')$, $(C, O, C')$ are collinears.
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