2001 IMO Problems/Problem 5
Let be on extension of and . Let be on and , then Since , is equilateral. Let , then, We claim that must be on , i.e., . If is not on , then , which leads to , and is equilateral, which is not possible. With that, we have, in , , , and .
Solution by .
Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.
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