A triangle has sides A, B, and C. The angle between sides A and B is $pi/6$ . If side C has a length of $2$ and the angle between sides B and C is $pi/12$ , what is the length of side A?

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Answer 1 · 2018-03-26T03:15:04

$"Length of side " a = 1.04 " units"$

$"Given : " hat C = pi/6, hat A = pi/12, c = 2, " To find length of side a"$

![http://www.dummies.com/education/math/trigonometry/laws-of-sines-and-cosines/]( useruploads.socratic.org )

Applying Law of Sines,

$a / sin A = c / sin C$

$a = (c * sin A) / sin C = (2 * sin (pi/12)) / sin (pi/6) = 1.04 " units"$

A triangle has sides A, B, and C. The angle between sides A and B is pi/6pi/6. If side C has a length of 2 2 and the angle between sides B and C is pi/12pi/12, what is the length of side A?