File:Obtuse triangle orthocenter el.svg

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Original file (SVG file, nominally 138 × 154 pixels, file size: 12 KB)

Captions

Captions

The orthocenter of an obtuse triangle is a point exterior to the triangle.

Summary

[edit]
Description
Ελληνικά: Το ορθόκεντρο αμβλυγώνιου τριγώνου, που βρίσκεται εξωτερικά του τριγώνου.
Date 17/08/23
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
InfoField

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}

\begin{document}

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

\tkzDefPoints{0/0/A,2.2/0/B}

\tkzDefPoint(-115:3.1){C}

\tkzDefTriangleCenter[ortho](A,B,C)
\tkzGetPoint{H}

\tkzDefPointBy[projection=onto B--C](H)\tkzGetPoint{HA}
\tkzDefPointBy[projection=onto A--C](H)\tkzGetPoint{HB}
\tkzDefPointBy[projection=onto A--B](H)\tkzGetPoint{HC}

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

\tkzFillAngle[fill=AngleClr,size=.4,fill opacity=0.1](A,B,C)
\tkzMarkAngle[line width=1pt,size=.4,color=AngleClr](A,B,C)

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

\tkzDrawSegments[line width=0.5pt,color=black,dashed,dash pattern=on 1pt off 1.75pt](H,HA H,B H,C)

\tkzDrawSegment[line width=0.5pt,color=black,dashed,dash pattern=on 1pt off 1.75pt,add=0 and 0.45](C,A)
\tkzDrawSegment[line width=0.5pt,color=black,dashed,dash pattern=on 1pt off 1.75pt,add=0.65 and 0](A,B)

\tkzMarkRightAngles[line width=1pt, size=.15,color=AngleClr,fill=AngleClr,fill opacity=0.1](H,HA,B H,HB,C H,HC,A)

\tkzDrawPoints[size=3](A,B,C,H)
\tkzLabelPoint[above left](A){$\rm A$}
\tkzLabelPoint[right](B){$\rm B$}
\tkzLabelPoint[below left](C){$\rm \Gamma$}
\tkzLabelPoint[above left](H){$\rm H$}

\tkzDrawSegments[line width=0.75pt](B,A A,C)

\end{tikzpicture}

\end{document}

Licensing

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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
current16:15, 17 August 2023Thumbnail for version as of 16:15, 17 August 2023138 × 154 (12 KB)Dimitris131 (talk | contribs){{Πληροφορίες εικόνας |Περιγραφή=Το ορθόκεντρο αμβλυγώνιου τριγώνου, που βρίσκεται εξωτερικά του τριγώνου. |Πηγή= |Ημερομηνία=17/08/23 |Δημιουργός=Dimitris131 |Άδεια χρήσης= }}

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