<?xml version="1.0" encoding="UTF-8"?>

<record version="10" id="8012">
 <title>opposite</title>
 <name>Opposite2</name>
 <created>2006-06-11 18:16:21</created>
 <modified>2007-06-01 13:27:37</modified>
 <type>Definition</type>
 <creator id="1863" name="Wkbj79"/>
 <author id="1863" name="Wkbj79"/>
 <classification>
	<category scheme="msc" code="51-01"/>
	<category scheme="msc" code="51-00"/>
 </classification>
 <synonyms>
	<synonym concept="opposite" alias="opposite side"/>
 </synonyms>
 <related>
	<object name="Sohcahtoa"/>
 </related>
 <preamble>\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}

\usepackage{amsthm}
\usepackage{pstricks}
</preamble>
 <content>Given a right triangle with an acute angle $\theta$, the side of the triangle that is {\sl opposite} of $\theta$ is the side of the triangle that is not a \PMlinkname{side}{Angle} of $\theta$.

\begin{center}
\begin{pspicture}(0,-2)(8,4)
\pspolygon(0,0)(4,4)(4,0)
\rput[l](4.1,2.1){opposite}
\psline(3.8,0)(3.8,0.2)
\psline(3.8,0.2)(4,0.2)
\psarc(0,0){0.3}{0}{45}
\rput[b](0.5,0.15){$\theta$}
\rput[l](0,0){.}
\rput[a](4,0){.}
\rput[b](4,4){.}
\end{pspicture}
\end{center}

This definition can be generalized to any triangle and any angle $\theta$:  The side of the triangle that is \emph{opposite} of $\theta$ is the side of the triangle that is not a side of $\theta$.  This more general definition is not used as commonly as the definition for right triangles.</content>
</record>
