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AAA Theorem

\begin{figure}\begin{center}\BoxedEPSF{AAATheorem.epsf}\end{center}\end{figure}

Specifying three Angles $A$, $B$, and $C$ does not uniquely define a Triangle, but any two Triangles with the same Angles are Similar. Specifying two Angles of a Triangle automatically gives the third since the sum of Angles in a Triangle sums to 180° ($\pi$ Radians), i.e.,

\begin{displaymath}
C=\pi-A-B.
\end{displaymath}

See also AAS Theorem, ASA Theorem, ASS Theorem, SAS Theorem, SSS Theorem, Triangle




© 1996-9 Eric W. Weisstein
1999-05-25