# Trigonometry! 64

Geometry Level 4

If the area of a $$\Delta ABC$$ is equal to $$a^{2} - (b-c)^{2}$$ then find the value of $$\tan A$$.

$$a$$, $$b$$ and $$c$$ are sides opposite to angles $$A$$, $$B$$ and $$C$$ respectively.

Express your answer in the form of $$\frac {x}{y}$$ where $$x$$ and $$y$$ are coprime integers, and enter the value of $$x+y$$.

###### This problem is part of the set Trigonometry.
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