path: root/mat/domace_naloge/13/165a.tex

\begin{center}
	\begin{tikzpicture}
		\tkzDefPoint(0,0){A} \tkzDefPoint(30:4){C} \tkzDefPoint(10,0){VSH}
		\tkzDrawLine(A,C) \tkzCompass(A,C)
		\tkzLabelLine[above left](A,C){$b$}
		\tkzInterCC(A,C)(C,A) \tkzGetPoints{K60X}{K60}
		\tkzCompass(A,K60) \tkzCompass(C,K60)
		\tkzDefMidPoint(C,K60) \tkzGetPoint{K30}
		\tkzCompass(C,K30) \tkzCompass(K60,K30)
		\tkzDrawLine(A,VSH)
		\tkzLabelLine[above](A,K30){$c$}\tkzCompass(A,VSH)
		\tkzInterCC(C,VSH)(VSH,C) \tkzGetPoints{PBX}{PB} \tkzDrawLine(C,VSH)
		\tkzCompass(VSH,PB) \tkzCompass(VSH,PBX)
		\tkzCompass(C,PB) \tkzCompass(C,PBX)
		\tkzDrawLine(PB,PBX) \tkzInterLL(PB,PBX)(A,VSH) \tkzGetPoint{B}
		\tkzDrawLine(C,B) \tkzDrawPolygon[fill=blue!30, opacity=.3](A,B,C)
		\tkzLabelLine[below left](C,B){$a$}
		\tkzCalcLength[cm](A,B)\tkzGetLength{ABl}
		\tkzCalcLength[cm](B,C)\tkzGetLength{BCl}
		\tkzDrawSegment[dim={\pgfmathprintnumber\ABl,-6pt,transform shape}](A,B)
		\tkzDrawSegment[dim={\pgfmathprintnumber\BCl,6pt,transform shape}](C,B)
		\tkzDrawPoints(A) \tkzLabelPoints(A,C,B)
	\end{tikzpicture}
\end{center}