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\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)
\tkzDrawPoints(A,B,C,K)
\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(G,I)
\end{tikzpicture}
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