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'adjacent'
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| Title of object: |
adjacent |
| Canonical Name: |
Adjacent2 |
| Type: |
Definition |
| Created on: |
2006-06-11 18:11:52 |
| Modified on: |
2007-05-25 12:41:23 |
| Classification: |
msc:51-01 |
| Synonyms: |
adjacent=adjacent side |
Revision comment (for changes between this and next version):
| getting rid of incorrect information |
Preamble:
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amsthm}
\usepackage{pstricks}
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Content:
Given a right triangle with an acute angle $\theta$, the side of the triangle that is \emph{adjacent} to $\theta$ is the side of the triangle that touches $\theta$ that is not the hypotenuse.
\begin{center}
\begin{pspicture}(0,-2)(4,4)
\pspolygon(0,0)(4,4)(4,0)
\rput[b](2,0){adjacent}
\rput[l](0,0){.}
\rput[a](4,4){.}
\rput[b](4,0){.}
\psarc(0,0){0.3}{0}{45}
\rput[b](0.5,0.15){$\theta$}
\end{pspicture}
\end{center}
This definition can be generalized to any triangle and any angle $\theta$: The side of the triangle that is \emph{adjacent} to $\theta$ is the shorter side of the triangle that touches $\theta$. (In the case that the two sides that touch $\theta$ are congruent, both can be considered to be adjacent to $\theta$.) This more general definition is not used as commonly as the definition for right triangles.
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