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\begin{tikzpicture}[scale=1.25]
  \tkzInit[xmin=0,xmax=4,ymin=0,ymax=3] \tkzClip
  \tkzDefPoint(0,0){A} \tkzDefPoint(4,0){B}
  \tkzDefPoint(1,3){C} \tkzDrawPolygon(A,B,C)
  \tkzSetUpLine[color=blue]
  \tkzDrawLine[median](B,C,A)
  \tkzDrawLine[median](C,A,B)
  \tkzDrawLine[median](A,B,C)
\end{tikzpicture}