# Ugly problem that works out nicely

Geometry Level pending

The current year is 2016. The last year number which was a perfect square was 1936 and before that, 1849.

If $$\theta =\log _{ \sqrt [ 30 ]{ 45 } }{ x }$$ (logarithim with base $$\sqrt [ 30 ]{ 45 }$$) in degrees, where $$x$$ is the next perfect-square year number, then the area of the triangle below can be written as $$\frac { a\sqrt { b }}{ c }$$, where $$a$$, $$b$$, and $$c$$ are positive integers, with $$a$$ and $$c$$ being coprime integers and $$b$$ square-free.

What is $$a+b+c$$?

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