\input{preamble-standalone.ltx} \begin{document} % Ex. No. 42 (Section 6.1.7 : Option \tkzname{symmedian}) \begin{tikzpicture} \tkzDefPoint(0,0){A} \tkzDefPoint(5,0){B} \tkzDefPoint(1,4){C} \tkzDefTriangleCenter[symmedian](A,B,C)\tkzGetPoint{K} \tkzDefTriangleCenter[median](A,B,C)\tkzGetPoint{G} \tkzDefTriangleCenter[in](A,B,C)\tkzGetPoint{I} \tkzDefSpcTriangle[centroid,name=M](A,B,C){a,b,c} \tkzDefSpcTriangle[incentral,name=I](A,B,C){a,b,c} \tkzDrawPolygon[color=blue](A,B,C) \tkzDrawLines[add = 0 and 2/3,blue](A,K B,K C,K) \tkzDrawSegments[red,dashed](A,Ma B,Mb C,Mc) \tkzDrawSegments[orange,dashed](A,Ia B,Ib C,Ic) \tkzDrawLine[add=2 and 2](G,I) \tkzDrawPoints(A,B,C,K,G,I) \end{tikzpicture} \end{document}