TikZ : triangle de Morley et tkz-euclide

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% Morley's triangle
% Author : Arnaud Lefebvre (IREM Rouen)
% Intersections of trisector lines in any triangle
% are vertices of an equilateral triangle
\documentclass{article}
\usepackage{tikz,tkz-euclide}
\usetikzlibrary{calc,intersections}
\pagestyle{empty}
\usepackage[french]{babel}
\begin{document}
\begin{tikzpicture}
%----------------------------------------------------
% Coordinates of A, B and C, the triangle vertices 
%----------------------------------------------------
\coordinate[label=above:$A$] (A) at (5,4);
\coordinate[label=left:$B$] (B) at (0,0);
\coordinate[label=right:$C$] (C) at (7,0);
%----------------------------------------------------
% Lengths of segments [AB], [BC], and [CA] 
%----------------------------------------------------
\tkzMathLength(B,C)
\newlength{\la}
\setlength{\la}{\tkzMathLen pt}
\setlength{\la}{.01\la}
\tkzMathLength(A,C)
\newlength{\lb}
\setlength{\lb}{\tkzMathLen pt}
\setlength{\lb}{.01\lb}
\tkzMathLength(A,B)
\newlength{\lc}
\setlength{\lc}{\tkzMathLen pt}
\setlength{\lc}{.01\lc}
%----------------------------------------------------
% Computing 1/3 of each angle
 
 
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