Construction du triangle

triangle-construction

Il est possible de modifier et de compiler cet exemple :

\documentclass[border=10pt]{standalone}
\usepackage{tkz-euclide}
\begin{document}
  \colorlet{input}{red!80!black} 
  \colorlet{output}{red!70!black}
  \colorlet{triangle}{orange!40}  

  \begin{tikzpicture}[scale=1.25,thick,help lines/.style={thin,draw=black!50}]
  \tkzDefPoint(0,0){A}     
  \tkzDefPoint(1.25+rand(),0.25+rand()){B}      
  \tkzInterCC(A,B)(B,A) \tkzGetPoints{C}{X}

  \tkzFillPolygon[triangle,opacity=.5](A,B,C)
  \tkzDrawSegment[input](A,B) 
  \tkzDrawSegments[red](A,C B,C)  
  \tkzDrawCircles[help lines](A,B B,A)

  \tkzLabelPoints(A,B)
  \tkzLabelCircle[below=12pt](A,B)(180){$D$}
  \tkzLabelCircle[above=12pt](B,A)(180){$E$}
  \tkzLabelPoint[above,red](C){$C$}
  \tkzDrawPoints[fill=gray,opacity=.5](A,B,C)
     
  \end{tikzpicture}
\end{document}