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\input{preamble-standalone.ltx}
\begin{document}
% Ex. No. 37 (Section 6.1.2 : Option \tkzname{centroid})
\begin{tikzpicture}[scale=.75]
\tkzDefPoints{-1/1/A,5/1/B}
\tkzDefEquilateral(A,B)
\tkzGetPoint{C}
\tkzDefTriangleCenter[centroid](A,B,C)
\tkzGetPoint{G}
\tkzDrawPolygon[color=brown](A,B,C)
\tkzDrawPoints(A,B,C,G)
\tkzDrawLines[add = 0 and 2/3](A,G B,G C,G)
\end{tikzpicture}
\end{document}
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