# Tikz intersection without extending the paths till they intersect

The below MWE draws a certain isosceles triangle:

\documentclass[tikz, border=1cm]{standalone}
\usetikzlibrary{intersections, positioning}

\begin{document}%

\begin{tikzpicture}
\coordinate (A) at (0,0);
\coordinate (B) at (2,0);
\path[name path=AC] (A)--++(80:6cm);
\path[name path=BC] (B)--++(100:6cm);
\path[name intersections={of=AC and BC, by=C}];
\draw (A)--(B)--(C)--cycle;
\end{tikzpicture}

\end{document}


However, if the named paths are not extended long enough, for example \path[name path=AC] (A)--++(80:1cm); I get an error. Though this is not a problem (that one just enters an arbitrary big number), is there a way (a notation perhaps, or whatever) to tell Tikz that the paths are intersecting (even if the defined path is not long enough)?