\input{preamble-standalone.ltx}
\begin{document}

% Ex. No. 209 (Section 25.1.1 : Proportion of gold with \tkzcname{tkzDuplicateSegment})

\begin{tikzpicture}[rotate=-90,scale=.75]
 \tkzDefPoint(0,0){A}
 \tkzDefPoint(10,0){B}
 \tkzDefMidPoint(A,B)
 \tkzGetPoint{I}
 \tkzDefPointWith[orthogonal,K=-.75](B,A)
 \tkzGetPoint{C}
 \tkzInterLC(B,C)(B,I)  \tkzGetSecondPoint{D}
 \tkzDuplicateSegment(B,D)(D,A) \tkzGetPoint{E}
 \tkzInterLC(A,B)(A,E)   \tkzGetPoints{N}{M}
 \tkzDrawArc[orange,delta=10](D,E)(B)
 \tkzDrawArc[orange,delta=10](A,M)(E)
 \tkzDrawLines(A,B B,C A,D)
 \tkzDrawArc[orange,delta=10](B,D)(I)
 \tkzDrawPoints(A,B,D,C,M,I,N)
 \tkzLabelPoints(A,B,D,C,M,I,N)
\end{tikzpicture}

\end{document}