Solve triangle ABC, b=62, c=37, and angle A is 78 degrees (using law of cosines or sins)

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For the equations below which statement is true ?

What is the length of the segment, endpoints of which are intersections of parabolas y=x^2− 11/4 x− 7/4 and y=− 7 /8 x^2+x+ 31/8 ?