%---------------------------Maximum Angle-----------------------------
\section{Maximum Angle\label{s:tri-max-angle}}

The maximum included angle of the triangle is
\[
  q =
    \max_{n\in\{0,1,2\}}\left\{\arccos{\left(
      \frac{\vec L_n\cdot\vec L_{n+1}}{\normvec{ L_n}\normvec{ L_{n+1}}}
    \right)}\left(\frac{180\dgr}{\pi}\right)\right\}
\]
measured in degrees.

Note that if any edge vector has zero length, \verd\ will return $q = 0\dgr$.

\trimetrictable{maximum included angle}%
{$A^1$}%                                              Dimension
{$[60\dgr,90\dgr]$}%                                  Acceptable range
{$[60\dgr,180\dgr]$}%                                 Normal range
{$[0\dgr,180\dgr]$}%                                  Full range
{$60\dgr$}%                                           Unit equilateral triangle value
{--}%                                                 Reference(s)                   
{v\_tri\_maximum\_angle}%                             Verdict function name