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\begin{tikzpicture}[scale=.8]
\tkzDefPoint(0,0){C}
\tkzDefPoint(7,0){B}
\tkzDefPoint(5,6){A}
\tkzDrawPolygon(A,B,C)
\tkzDefMidPoint(C,B)
\tkzGetPoint{I}
\tkzDrawArc(I,B)(C)
\tkzInterLC(A,C)(I,B)
\tkzGetSecondPoint{B'}
\tkzInterLC(A,B)(I,B)
\tkzGetFirstPoint{C'}
\tkzInterLL(B,B')(C,C')
\tkzGetPoint{H}
\tkzInterLL(A,H)(C,B)
\tkzGetPoint{A'}
\tkzDefCircle[circum](A,B',C')
\tkzGetPoint{O}
\tkzDrawCircle[color=red](O,A)
\tkzDrawSegments[color=orange](B,B' C,C' A,A')
\tkzMarkRightAngles(C,B',B B,C',C C,A',A)
\tkzDrawPoints(A,B,C,A',B',C',H)
\tkzLabelPoints(A,B,C,A',B',C',H)
\end{tikzpicture}
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