#12 on this year’s AIME, could it possibly be a simple problem with a simple solution?

Let be a right triangle with right angle at Let and be points on with between and such that and trisect If then can be written as where and are relatively prime positive integers, and is a positive integer not divisible by the square of any prime. Find

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Comments on:"AIME 2012 problem" (1)2012 AIME 1 Problem #12 | Girls' Anglesaid:[…] was checking out Mess or Math?’s cool blog and her latest post wonders whether problem 12 on the 2012 AIME 1 has a simple solution. Simple is […]