Toolkit 58

Law of Cosines

Triangle ABC with sides a, b, c

For a triangle with sides aa, bb, cc:

a2=b2+c22bccosAa^2=b^2+c^2-2bc\cos A

or

cosA=b2+c2a22bc\cos A=\frac{b^2+c^2-a^2}{2bc}