Cosine rule to find a side
If the three side lengths in a triangle are a, b and c, with an angle C opposite the side with length c, then c 2 = a 2 + b 2 − 2 a b cos C c^2=a^2+b^2-2ab\\cos C c2=a2+b2−2abcosC.
As per the diagram, Cosine rules to find the length of the sides a, b & c of the triangle ABC is given by; a2 = b2 + c2 – 2bc cos x.
$$ c o s C = a 2+ b 2− c 22 a b .
The cosine rule relates the lengths of all three sides in a triangle and the cosine of one of its angles.
Therefore, the cosine rule is will help us to find: the third side of a triangle when you know two sides and the included angle (the angle between the two known sides)
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