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 $6$ and the angle between sides B and C is $pi/12$ , what is the length of side A?

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Answer 1 · 2018-06-21T07:23:52

$color(red)("Length of side A " = a = 1.61 " units"$

![https://sites.google.com/site/trigingwithstarr/law-of-sines-and-cosines]( useruploads.socratic.org )

$hat A = pi/12, hat C = (7pi) / 12, c = 6$

Law of Sines, $a / sin A = c / sin C$

$a = (6 * sin(pi/12)) / sin((7pi) / 12) = 1.61$

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 6 6 and the angle between sides B and C is pi/12pi/12, what is the length of side A?