I couldnt solve the following: we need to minimize $$\sqrt{\frac{(a+b-c)(b+c-a)(a+c-b)}{(a+b+c)}},$$ where a,b,c are sides of a triangle.
Geometrical Inequalities
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$\begingroup$
inequality
geometric-inequalities
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0In the extreme case where $a+b \approx c$, the above term is close to zero. – 2012-11-18
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0Just curious where this problem came from. Is it related to Heron's formula in some way? – 2012-11-18
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0I dont know where it comes from,I was asked by my brother – 2012-11-18
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0@Mike Yes, it is. And very related to the inradius ;) – 2014-05-06