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\begin{tikzpicture}[scale=.5]
\tkzDefPoint(0,0){O}
\tkzDefPoint(6,6){E}
\tkzDefRandPointOn[circle=center O radius 4cm]
\tkzGetPoint{A}
\tkzDrawSegment(O,A)
\tkzDrawCircle(O,A)
\tkzDefTangent[at=A](O)
\tkzGetPoint{h}
\tkzDrawLine[add = 4 and 3](A,h)
\tkzMarkRightAngle[fill=red!30](O,A,h)
\end{tikzpicture}
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