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+\begin{tikzpicture}[scale=1.25]
+ \tkzDefPoints{0/0/A, 4/2/B, 1/4/C}
+ \tkzDrawPolygon(A,B,C)
+ \tkzSetUpCompass[color=brown,line width=.1 pt]
+ \tkzDefLine[bisector](B,A,C) \tkzGetPoint{a}
+ \tkzDefLine[bisector](C,B,A) \tkzGetPoint{b}
+ \tkzInterLL(A,a)(B,b) \tkzGetPoint{I}
+ \tkzDefPointBy[projection = onto A--B](I)
+ \tkzGetPoint{H}
+ \tkzShowLine[bisector,size=2,gap=3,blue](B,A,C)
+ \tkzShowLine[bisector,size=2,gap=3,blue](C,B,A)
+ \tkzDrawCircle[radius,color=blue,%
+ line width=.2pt](I,H)
+ \tkzDrawSegments[color=red!50](I,tkzPointResult)
+ \tkzDrawLines[add=0 and -0.3,color=red!50](A,a B,b)
+\end{tikzpicture}