%---------------------------Relative Size-Squared-----------------------------
\section{Relative Size Squared\label{s:tri-rel-size-squared}}

Let $R$ be ratio of the triangle area $A$ to the average area $\overline{A}$ of an ensemble of triangles
\[
  R = \frac{A}{\overline{A}}
\]
The relative size is the minimum of $R$ and its inverse and the relative size squared is
\[
  q = \left( \min\left\{R,\frac{1}{R}\right\} \right)^2.
\]

Note that if $R = 0$, we take $q = 0$.

\trimetrictable{relative size squared}%
{$1$}%                                                Dimension
{$[0.25,1]$}%                                         Acceptable range
{$[0,1]$}%                                            Normal range
{$[0,1]$}%                                            Full range
{Dependent on $\overline{A}$}%                        Unit equilateral triangle value
{\cite{knu:03}}%                                      Reference(s)                   
{v\_tri\_relative\_size\_squared}%                            Verdict function name

