Intermission

Geometry Level pending

An triangle with sides 529 (red) and 128 (cyan) is inscribed in a circle (purple) of diameter 721. The length of the remaining longest side (black) in its simplest form can be represented as 1 721 a + b c \frac{1}{721}\sqrt{a+b\sqrt{c}} where a , b a,b and c c are positive integers. Find a + b + c a+b+c .


Happy birthday to Mervyn, Ryan, Marcus and myself on those dates.


The answer is 144901660375.

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