The medial triangle mT of triangle T is the triangle formed by joining the midpoints of the sides of triangle T.

If the optional argument is given and is a list of three names, these three names will be assigned to the three vertices of the medial triangle mT

For a detailed description of the medial triangle mT, use the routine detail (i.e., detail(mT))

Note that the routine only works if the vertices of triangle T are known.

The command with(geometry,medial) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{geometry}\right)\:$

$\mathrm{triangle}\left(T\,\left[\mathrm{point}\left(A\,0\,0\right)\,\mathrm{point}\left(B\,2\,0\right)\,\mathrm{point}\left(C\,1\,3\right)\right]\right)\:$

$\mathrm{medial}\left(\mathrm{mT}\,T\right)$

$\mathrm{mT}$

$\mathrm{detail}\left(\mathrm{mT}\right)$

$\begin{array}{ll}\text{name of the object}& \mathrm{mT}\\ \text{form of the object}& \mathrm{triangle2d}\\ \text{method to define the triangle}& \mathrm{points}\\ \text{the three vertices}& \left[\left[1\,0\right]\,\left[\frac{1}{2}\,\frac{3}{2}\right]\,\left[\frac{3}{2}\,\frac{3}{2}\right]\right]\end{array}$

$\mathrm{draw}\left(\left\{T\left(\mathrm{color}=\mathrm{blue}\right)\,\mathrm{mT}\left(\mathrm{color}=\mathrm{green}\right)\right\}\,\mathrm{style}=\mathrm{POINT}\,\mathrm{axes}=\mathrm{NONE}\,\mathrm{printtext}=\mathrm{true}\right)$