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yes, by it's nature Tikx and LaTeX are not object-oriented, but when it comes to the pgfmath capabilities, there is not much which would be missing ( https://tikz.dev/math-parsing ). And a tri-section is even simpler

\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}
  \path (0,0) node(A){A};
  \path (5,5) node(B){B};
  \path (A) -- (B) node[pos=0.333](C){C};
\end{tikzpicture}
\end{document}

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@Saltsmart
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@uwezi
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