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69 lines
2.4 KiB
TeX
69 lines
2.4 KiB
TeX
\documentclass{article}
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\usepackage[pdftex,active,tightpage]{preview}
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\setlength\PreviewBorder{2mm}
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\usepackage{tikz}
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\usepackage{tkz-euclide}
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\usetikzlibrary{angles,quotes}
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\usetkzobj{all}
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\usetikzlibrary{shapes, calc, decorations}
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\usepackage{amsmath,amssymb}
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\usepackage{helvet}
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\usepackage[eulergreek]{sansmath}
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\begin{document}
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\begin{preview}
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\begin{tikzpicture}[very thick,font=\sansmath\sffamily]
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\tkzDefPoint(0,0){A}
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\tkzDefPoint(6.4,0){B}
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\tkzDefPoint(2.5,5){C}
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\tkzLabelPoints[below left,font=\sansmath\sffamily](A)
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\tkzLabelPoints[below right,font=\sansmath\sffamily](B)
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\tkzLabelPoints[above,font=\sansmath\sffamily](C)
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% Perpendiculars
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\tkzDefLine[perpendicular=through A,/tikz/overlay](B,C)\tkzGetPoint{tmp}
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\tkzInterLL(B,C)(A,tmp)\tkzGetPoint{ha}
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\tkzLabelPoint[right,font=\sansmath\sffamily](ha){$h_a$}
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\tkzDefLine[perpendicular=through B,/tikz/overlay](A,C)\tkzGetPoint{tmp}
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\tkzInterLL(A,C)(B,tmp)\tkzGetPoint{hb}
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\tkzLabelPoint[left,font=\sansmath\sffamily](hb){$h_b$}
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\tkzDefLine[perpendicular=through C,/tikz/overlay](A,B)\tkzGetPoint{tmp}
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\tkzInterLL(A,B)(C,tmp)\tkzGetPoint{hc}
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\tkzLabelPoint[below,font=\sansmath\sffamily](hc){$h_c$}
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\tkzInterLL(B,hb)(A,ha)\tkzGetPoint{H}
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% Draw polygon
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\tkzDrawPolygon[thick,fill=gray!10](A,B,C)
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% Mark angles
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% \tkzMarkAngle[arc=l,size=0.6cm,fill=green!30](B,A,C)
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% \tkzLabelAngle[pos=0.3](B,A,C){$\alpha$}
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% \tkzMarkAngle[arc=l,size=0.6cm,fill=red!30](C,B,A)
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% \tkzLabelAngle[pos=0.4](C,B,A){$\beta$}
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% \tkzMarkAngle[arc=l,size=0.6cm,fill=blue!30](A,C,B)
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% \tkzLabelAngle[pos=0.4](A,C,B){$\gamma$}
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% Label lines
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% \tkzLabelSegment[below](A,B){$c$}
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% \tkzLabelSegment[left](A,C){$b$}
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% \tkzLabelSegment[right](B,C){$a$}
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% Draw polygon
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\tkzDrawPolygon[fill=yellow](ha,hb,hc)
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\tkzDrawSegments[dashed](A,ha B,hb C,hc)
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\tkzDrawPolygon[thick](A,B,C)
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\tkzDrawPoints[size=2,fill=black](ha,hb,hc,H)
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\tkzLabelPoint[below right,font=\sansmath\sffamily](H){$H$}
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\draw pic[semithick, draw, angle radius=3mm,"$\cdot$",angle eccentricity=.6]{angle= B--hc--C};
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\draw pic[semithick, draw, angle radius=3mm,"$\cdot$",angle eccentricity=.6]{angle= B--hb--C};
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\draw pic[semithick, draw, angle radius=3mm,"$\cdot$",angle eccentricity=.6]{angle= C--ha--A};
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\end{tikzpicture}
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\end{preview}
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\end{document}
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