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\input{preamble-standalone.ltx}
\begin{document}
% Ex. No. 199 (Section 29.1.5 : Hauteurs - autre construction)
\begin{tikzpicture}[scale=.75]
\tkzDefPoint(0,0){A}
\tkzDefPoint(8,0){B}
\tkzDefPoint(3.5,10){C}
\tkzDefMidPoint(A,B)
\tkzGetPoint{O}
\tkzDefPointBy[projection=onto A--B](C)
\tkzGetPoint{P}
\tkzInterLC(C,A)(O,A)
\tkzGetSecondPoint{M}
\tkzInterLC(C,B)(O,A)
\tkzGetFirstPoint{N}
\tkzInterLL(B,M)(A,N)
\tkzGetPoint{I}
\tkzDrawCircle[diameter](A,B)
\tkzDrawSegments(C,A C,B A,B B,M A,N)
\tkzMarkRightAngles[fill=brown!20](A,M,B A,N,B A,P,C)
\tkzDrawSegment[style=dashed,color=orange](C,P)
\tkzLabelPoints(O,A,B,P)
\tkzLabelPoint[left](M){$M$}
\tkzLabelPoint[right](N){$N$}
\tkzLabelPoint[above](C){$C$}
\tkzLabelPoint[above right](I){$I$}
\tkzDrawPoints[color=red](M,N,P,I)
\tkzDrawPoints[color=brown](O,A,B,C)
\end{tikzpicture}
\end{document}
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