A triangle has sides A, B, and C. The angle between sides A and B is $(7pi)/12$ . If side C has a length of $12$ and the angle between sides B and C is $pi/12$ , what is the length of side A?

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Answer 1 · 2018-04-06T06:32:30

$color(green)("Length of side 'a' " ~~ 3.22$

$"Given : " c = 12, hat C = (7pi)/12, hat A = pi/12, " to find 'a'"$

![https://www.teacherspayteachers.com/Product/Law-of-Sine-and-Law-of-Cosine-Foldable-For-Oblique-Triangles-716112]( useruploads.socratic.org )

$a / sin A = b / sin B = c / sin C$

$a = (c * sin A) / sin C = 1(12 * sin (pi/12)) / sin ((7pi)/12) ~~ 3.22$

A triangle has sides A, B, and C. The angle between sides A and B is (7pi)/12(7pi)/12. If side C has a length of 12 12 and the angle between sides B and C is pi/12pi/12, what is the length of side A?