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# VERY tough convex polygon question watch

1. Assign to each side (b) of a convex polygon (P) the maximum area of a triangle that has b as a side and is contained in (P) . Show that the sum of the areas assigned to the sides of P is at least twice the area of P.

I know i probably wont get many answers for this, as it is very tough, but im just curious if anybody knows where to start ???
2. i dont think anybody will reply, can you close this please
3. Give it time, someone will have patience!
4. yeah i see but i highly doubt it
5. It's only been up for 15 minutes, be patient.

7. (Original post by Extricated)
yeah i see but i highly doubt it
Im not trying to attack you or something but whats the point ? you struggle with this question and then you make a thread about IMO question ?
8. I was about to say this is IMO 2006. Surprised I remembered that.
9. (Original post by rbnphlp)
Im not trying to attack you or something but whats the point ? you struggle with this question and then you make a thread about IMO question ?
The Borat going to Cambridge was lolz especially the guy who gets annoyed with him!!
10. (Original post by rbnphlp)
Im not trying to attack you or something but whats the point ? you struggle with this question and then you make a thread about IMO question ?

im not trying to attack you or anything, but you actually took time to create a link and check through my posts, just to outline the point that im not at that level. Im just curious, im not necessariy wanting to solve it, im just curious as how people would approach the problem?
11. (Original post by Extricated)
Im just curious, im not necessariy wanting to solve it, im just curious as how people would approach the problem?
I have to confess to skepticism, given that it's an Olympiad level problem and less than 10 minutes after you posted it you said "i dont think anybody will reply, can you close this please".
12. (Original post by DFranklin)
I have to confess to skepticism, given that it's an Olympiad level problem and less than 10 minutes after you posted it you said "i dont think anybody will reply, can you close this please".
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