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+ \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{i}
+ \tkzInterLC(I,i)(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){$IC=\sqrt{a}$}
+ \end{tikzpicture}