How to prove the inequality?
Given that a,b,c are the sides of a triangle, prove the inequality
$\sqrt{{a}^{2}-{(b-c)}^{2}}+\sqrt{{b}^{2}-{(c-a)}^{2}}+\sqrt{{c}^{2}-{(a-b)}^{2}}\leq
\sqrt{ab}+\sqrt{bc}+\sqrt{ca}\leq a+b+c$
I don't know where to start.
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