# JMO 2002

Algebra Level 4

$\dfrac{(b+c-a)^2}{(b+c)^2+a^2}+\dfrac{(c+a-b)^2}{(c+a)^2+b^2}+\dfrac{(a+b-c)^2}{(a+b)^2+c^2}$

If $$a,b$$ and $$c$$ are non-negative reals, find the minimum value of the above expression.

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