But by squaring the latter and expanding the parentheses we obtain:
Thus, we only have to prove that:
which is trivially equivalent to:
Equality is achieved if and only if (i.e. when the triangle is equilateral) .
See also the Hadwiger-Finsler inequality, from which this result follows as a corollary.
|Date of creation||2013-03-22 13:19:33|
|Last modified on||2013-03-22 13:19:33|
|Last modified by||mathcam (2727)|