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Step-by-step explanation:
I call the law of cosine the extended Pythagoras for general triangles (not just right-angled).
c² = a² + b² - 2ab×cos(C)
with C being the angle opposite of the side C.
we can use this, when we know all 3 side lengths and need to know the angles.
and we can use this when we know 2 sides and their enclosed angle to get the third side length.