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Theorem 57
For a triangle $ABC$, let $a=BC, b=AC, c=AB$, we have\begin{align*}a^2=b^2+c^2-2bc\ \cos A\\b^2=a^2+c^2-2\ ac\cos B\\c^2=a^2+b^2-2ab\ \cos C\end{align*}
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