# Mickey Mouse?

Geometry Level 3

If $$a,b$$ and $$c$$ are the sides of $$\Delta ABC$$ opposite to angles $$A,B$$ and $$C$$, and $$r_{1},r_{2}$$ and $$r_{3}$$ are the corresponding exradii, then find the value of $\frac {b-c}{r_{1}} + \frac {c-a}{r_{2}} + \frac{a-b}{r_{3}}$

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