File:Equilateral in square 15 el.svg

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Original file (SVG file, nominally 168 × 165 pixels, file size: 15 KB)

Captions

Captions

The equilateral triangle with the largest area inscribed in a square/

Summary

[edit]
Description
Ελληνικά: Το ισόπλευρο τρίγωνο με το μεγαλύτερο εμβαδό, εγγεγραμμένο σε τετράγωνο.
Date
Source Own work
Author Dimitris131
SVG development
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The SVG code is valid.
 
This vector image was created with LaTeX.
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}
\definecolor{GreenDist}{RGB}{7,122,7}

\begin{document}

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

\tkzDefPoints{0/0/D,4.5/0/C,4.5/4.5/B,0/4.5/A}

\tkzDefPoint(15:0.5){x}
\tkzDefPoint(75:0.5){y}

\tkzInterLL(A,B)(D,y) \tkzGetPoint{E}
\tkzInterLL(B,C)(D,x) \tkzGetPoint{Z}

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

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

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

\tkzFillAngles[fill=AngleClr,size=1.25,fill opacity=0.1](C,D,Z E,D,A)
\tkzMarkAngles[line width=1pt,size=1.25,color=AngleClr](C,D,Z E,D,A)
\tkzLabelAngles[scale=0.6,pos=2.6](C,D,Z E,D,A){$15^\circ$}

\tkzLabelPoint[above left](A){$\rm A$}
\tkzLabelPoint[above right](B){$\rm B$}
\tkzLabelPoint[below right](C){$\rm \Gamma$}
\tkzLabelPoint[below left](D){$\rm \Delta$}
\tkzLabelPoint[above](E){$\rm E$}
\tkzLabelPoint[right](Z){$\rm Z$}


\tkzMarkSegments[mark=s||,size=2.5](D,E Z,E D,Z)

\end{tikzpicture}
\end{document}

Licensing

[edit]
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.

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current21:10, 23 October 2024Thumbnail for version as of 21:10, 23 October 2024168 × 165 (15 KB)Dimitris131 (talk | contribs)Make background white
16:03, 27 August 2024Thumbnail for version as of 16:03, 27 August 2024167 × 165 (15 KB)Dimitris131 (talk | contribs)Enlarge figure
11:04, 2 September 2023Thumbnail for version as of 11:04, 2 September 2023110 × 108 (15 KB)Dimitris131 (talk | contribs){{Πληροφορίες εικόνας |Περιγραφή=Το ισόπλευρο τρίγωνο με το μεγαλύτερο εμβαδό, εγγεγραμμένο σε τετράγωνο. |Πηγή= |Ημερομηνία=02/09/23 |Δημιουργός=Dimitris131 |Άδεια χρήσης= }}

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