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

% Ex. No. 10 (Section  1.3.3 : Complete but minimal example)

\begin{tikzpicture}[scale=1,ra/.style={fill=gray!20}]
     % fixed points
     \tkzDefPoint(0,0){A}
     \tkzDefPoint(1,0){I}
     % calculation
     \tkzDefPointBy[homothety=center A ratio  10 ](I) \tkzGetPoint{B}
     \tkzDefMidPoint(A,B)              \tkzGetPoint{M}
     \tkzDefPointWith[orthogonal](I,M) \tkzGetPoint{H}
     \tkzInterLC(I,H)(M,B)             \tkzGetSecondPoint{C}
     \tkzDrawSegment[style=orange](I,C)
     \tkzDrawArc(M,B)(A)
     \tkzDrawSegment[dim={$1$,-16pt,}](A,I)
     \tkzDrawSegment[dim={$a/2$,-10pt,}](I,M)
     \tkzDrawSegment[dim={$a/2$,-16pt,}](M,B)
     \tkzMarkRightAngle[ra](A,I,C)
     \tkzDrawPoints(I,A,B,C,M)
     \tkzLabelPoint[left](A){$A(0,0)$}
     \tkzLabelPoints[above right](I,M)
     \tkzLabelPoints[above left](C)
     \tkzLabelPoint[right](B){$B(10,0)$}
     \tkzLabelSegment[right=4pt](I,C){$\sqrt{a^2}=a \ (a>0)$}
\end{tikzpicture}

\end{document}