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Revision difference : adjacent |
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Version 9 |
| 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. |
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. |
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| \begin{center} |
\begin{center} |
| \begin{pspicture}(0,-2)(4,4) |
\begin{pspicture}(0,-2)(4,4) |
| \pspolygon(0,0)(4,4)(4,0) |
\pspolygon(0,0)(4,4)(4,0) |
| \rput[b](2,0){adjacent} |
\rput[b](2,0){adjacent} |
| \rput[l](0,0){.} |
\rput[l](0,0){.} |
| \rput[a](4,4){.} |
\rput[a](4,4){.} |
| \rput[b](4,0){.} |
\rput[b](4,0){.} |
| \psarc(0,0){0.3}{0}{45} |
\psarc(0,0){0.3}{0}{45} |
| \rput[b](0.5,0.15){$\theta$} |
\rput[b](0.5,0.15){$\theta$} |
| \end{pspicture} |
\end{pspicture} |
| \end{center} |
\end{center} |
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| 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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