A triangle has sides A, B, and C. The angle between sides A and B is $(2pi)/3$ . If side C has a length of $21$ and the angle between sides B and C is $pi/12$ , what is the length of side A?

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Answer 1 · 2018-06-21T08:17:23

$color(maroon)("Length of side " a = 6.28 " units"$

$hat A = pi/12, hat C = (2pi) /3, hat B = pi - pi/12 - (2pi)/3 = pi/4, c = 21$

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

$a / sin A = c / sin C$

$a = (21 * sin(pi/12)) / sin ((2pi)/3) = 6.28$

A triangle has sides A, B, and C. The angle between sides A and B is (2pi)/3(2pi)/3. If side C has a length of 21 21 and the angle between sides B and C is pi/12pi/12, what is the length of side A?