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opposite (Definition)

Given a right triangle with an acute angle $ \theta$, the side of the triangle that is opposite of $ \theta$ is the side of the triangle that is not a side of $ \theta$.


\begin{pspicture}(0,-2)(8,4) \pspolygon(0,0)(4,4)(4,0) \rput[l](4.1,2.1){opposit... ...15){$\theta$} \rput[l](0,0){.} \rput[a](4,0){.} \rput[b](4,4){.} \end{pspicture}

This definition can be generalized to any triangle and any angle $ \theta$: The side of the triangle that is 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.



"opposite" is owned by Wkbj79.
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See Also: sohcahtoa

Other names:  opposite side
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Cross-references: angle, triangle, side, acute angle, right triangle
There are 42 references to this entry.

This is version 10 of opposite, born on 2006-06-11, modified 2007-06-01.
Object id is 8012, canonical name is Opposite2.
Accessed 3642 times total.

Classification:
AMS MSC51-01 (Geometry :: Instructional exposition )
 51-00 (Geometry :: General reference works )

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