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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.

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    In the extreme case where $a+b \approx c$, the above term is close to zero.2012-11-18
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    Just curious where this problem came from. Is it related to Heron's formula in some way?2012-11-18
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    I dont know where it comes from,I was asked by my brother2012-11-18
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    @Mike Yes, it is. And very related to the inradius ;)2014-05-06

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