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MIT PRIMES/Art of Problem Solving

CROWDMATH 2017: The Broken Stick Problem

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Problem(ii) Possible Solution Path
mathcrazymj   25
N Nov 24, 2018 by Nirmay
Look at my solution to problem 5 in this pdf: http://submissions.usamts.org/Year28/Round1/34279-1476743929-USAMTS%202016%20Matthew%20Roth.pdf

I found some useful results about cyclic quadrilaterals that may generalize to Problem(ii)

EDIT: I'll think about it some more but I think this problem can be solved by breaking n-gons into a bunch of quadrilaterals and maybe 1 triangle (depending on n) and maximizing the areas by making all the quadrilaterals cyclic and the triangle equilateral
25 replies
mathcrazymj
Mar 1, 2017
Nirmay
Nov 24, 2018
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