To apply the law of cosines to find the measure of an interior angle in a triangle, you need to know the lengths of all three sides of the triangle. Specifically, if you have sides ( a ), ( b ), and ( c ), you can find the angle opposite to side ( c ) using the formula ( c^2 = a^2 + b^2 - 2ab \cos(C) ). From this equation, you can isolate ( \cos(C) ) and then use the inverse cosine function to determine the measure of angle ( C ).
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