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Make triangle look less like a right triangle

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Martin Thoma 2014-08-31 12:53:42 -04:00
parent 31b11404cc
commit 44f03eabac
3 changed files with 26 additions and 37 deletions
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tikz/triangle/Readme.md → tikz/triangle/README.md
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tikz/triangle/triangle.png
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tikz/triangle/triangle.tex
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@ -2,55 +2,44 @@
\usepackage[pdftex,active,tightpage]{preview}
\setlength\PreviewBorder{2mm}
\usepackage{tikz}
\usepackage{tkz-euclide}
\usetkzobj{all}
\usetikzlibrary{shapes, calc, decorations}
\usepackage{amsmath,amssymb}
\usepackage{helvet}
\usepackage[eulergreek]{sansmath}
\begin{document}
\begin{preview}
\begin{tikzpicture}[thick]
\newcommand\XC{4}
\newcommand\ALPHA{30}
\begin{tikzpicture}[very thick,font=\sansmath\sffamily]
\tkzDefPoint(0,0){A}
\tkzDefPoint(3.2,0){B}
\tkzDefPoint(0.7,3){C}
\newcommand\XB{{(\XC*(cos(\ALPHA)*cos(\ALPHA) - sin(\ALPHA)*sin(\ALPHA)) + \XC)*0.5}}
\newcommand\YB{{sqrt(cos(\ALPHA)*\XC*cos(\ALPHA)*\XC - (\XC*(cos(\ALPHA)*cos(\ALPHA) - sin(\ALPHA)*sin(\ALPHA)) + \XC)*0.5*(\XC*(cos(\ALPHA)*cos(\ALPHA) - sin(\ALPHA)*sin(\ALPHA)) + \XC)*0.5)}}
\tkzLabelPoints[below left](A)
\tkzLabelPoints[below right](B)
\tkzLabelPoints[above](C)
% Draw the triangle
\draw[fill=gray!10] (0, 0) coordinate (A)
-- (\XB,\YB) coordinate (C)
-- (\XC, 0) coordinate (B)
-- (0, 0);
% Draw polygon
\tkzDrawPolygon[thick,fill=gray!10](A,B,C)
% Draw nodes
\node at (A)[anchor=north] {A};
\node at (B)[anchor=north] {B};
\node at (C)[anchor=south] {C};
% Mark angles
\tkzMarkAngle[arc=l,size=0.6cm,fill=green!30](B,A,C)
\tkzLabelAngle[pos=0.3](B,A,C){$\alpha$}
% Draw edge text
\node (c) at ($(A)!0.5!(B)$) [below] {c};
\node (b) at ($(A)!0.5!(C)$) [above] {b};
\node (a) at ($(B)!0.6!(C)$) [right] {a};
\tkzMarkAngle[arc=l,size=0.6cm,fill=red!30](C,B,A)
\tkzLabelAngle[pos=0.4](C,B,A){$\beta$}
\tkzMarkAngle[arc=l,size=0.6cm,fill=blue!30](A,C,B)
\tkzLabelAngle[pos=0.4](A,C,B){$\gamma$}
% draw alpha
\draw[fill=green!30] (0,0) -- (0:0.75cm) arc (0:\ALPHA:.75cm);
\coordinate[label=right:$\alpha$] (Alpha) at (0.25,0.15);
% Label lines
\tkzLabelSegment[below](A,B){$c$}
\tkzLabelSegment[left](A,C){$b$}
\tkzLabelSegment[right](B,C){$a$}
% draw beta
\begin{scope}[shift={(\XC, 0)}]
\draw[fill=red!30] (0,0) -- (-180:0.50cm) arc (180:{180-(90-\ALPHA)}:0.5cm);
\draw (150:0.35cm) node {$\beta$};
\end{scope}
% draw gamma
\begin{scope}[shift={(\XB, \YB)}]
\draw[fill=blue!30] (0,0) -- ({180+\ALPHA}:0.5cm) arc ({180+\ALPHA}:{180+\ALPHA+90}:0.5cm);
\draw (-0.1, -0.05) node[below] {$\gamma$};
\end{scope}
\draw (0, 0) coordinate (X)
-- (\XB,\YB) coordinate (Y)
-- (\XC, 0) coordinate (Z)
-- (0, 0);
% Draw polygon
\tkzDrawPolygon[thick](A,B,C)
\end{tikzpicture}
\end{preview}
\end{document}