# Mad with triangle (Part 2)

Geometry Level 3

Let $$a,b,c$$ denote the sides of the triangle with $$r_1, r_2, r_3$$ as the radii of the excircles. Compute $$\dfrac{b-c}{r_1} + \dfrac{c-a}{r_2} + \dfrac{a-b}{r_3}$$.

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