File:Second angle bisector theorem.svg

Summary

Description
Ελληνικά: Εξωτερική διχοτόμος ΑΔ του τριγώνου ΑΒΓ.
Date
Source Own work
Author Dimitris131
SVG development
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Source code
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LaTeX code

\documentclass[tikz]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.15}
\usepackage{mathrsfs}
\usetikzlibrary{arrows,calc}
\usepackage{tkz-euclide}
\pagestyle{empty}

\definecolor{AngleClr}{rgb}{0,0.39215686274509803,0}
\definecolor{ShapeClr}{rgb}{0.6,0.2,0}
\definecolor{SquareClr}{RGB}{250, 248, 217}

\begin{document}

\begin{tikzpicture}[scale=.75]
\tkzSetUpLine[line width=1pt,color=black]
\tkzSetUpPoint[fill=black]

\tkzDefPoints{0/0/B,0.4/3/A,5/0/C}

\tkzDefPointOnLine[pos=-0.2](A,C) \tkzGetPoint{C'}

\tkzDefLine[bisector out](C,A,B) \tkzGetPoint{x}
\tkzInterLL(A,x)(B,C) \tkzGetPoint{D}

\tkzFillPolygon[fill=ShapeClr,fill opacity=0.1](A,B,C)

\tkzFillAngles[fill=AngleClr,size=.4,fill opacity=0.1](D,A,B C',A,D)
\tkzMarkAngles[line width=1pt,size=.4,color=AngleClr,mark=|,mksize=3](D,A,B C',A,D)

\tkzDrawSegment[line width=0.5pt,color=black,dashed,dash pattern=on 1pt off 1.75pt,add=0 and 0.1](B,D)
\tkzDrawLine[line width=0.5pt,color=black,dashed,dash pattern=on 1pt off 1.75pt,add=.2 and 0](A,C)
\tkzDrawSegment[line width=1pt](A,D)

\tkzDrawPolygon[color=ShapeClr](A,B,C)

\tkzDrawPoints[size=3](A,B,C,D)

\tkzLabelPoint[above](A){$\rm A$}
\tkzLabelPoint[below](D){$\rm\Delta'$}
\tkzLabelPoint[below](B){$\rm B$}
\tkzLabelPoint[below](C){$\rm\Gamma$}

\end{tikzpicture}
\end{document}

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Category:Self-published work#Second%20angle%20bisector%20theorem.svgCategory:PD-self#Second%20angle%20bisector%20theorem.svg
Category:PD-self Category:Self-published work Category:Valid SVG created with LaTeX code