Title: Index of Triangle (2009) — Review
Some key areas covered in such an index might include: index of triangle 2009 link
The inequality we are looking for to conclude $n \geq 1$ directly relates to properties of triangles and inequalities involving symmetric polynomials in $a$, $b$, and $c$. A well-known result is that $n \geq 1$ holds because of how $abc$ and $s(s-a)(s-b)(s-c)$ relate through inequalities like AM-GM and properties of triangle inequalities. Title: Index of Triangle (2009) — Review Some
Once I have more information, I'll do my best to provide a relevant article or summary. index of triangle 2009 link