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 $26$ and the angle between sides B and C is $pi/12$ , what is the length of side A?

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Answer 1 · 2018-05-06T04:34:20

$color(indigo)("Length of side a " = 7.77 " units"$

$hat A = pi/12, hat C = (2pi)/3, color(red)(hat B = pi - pi/12 - (2pi)/3 = pi/4, c = 26$

$color(maroon)("According to Lw of Sines, " a / sin A = b / sin B = c / sin C$

$a = (c * sin A) / sin C = (26 * sin (pi/12)) / sin ((2pi)/3) ~~ 7.77$

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 26 26 and the angle between sides B and C is pi/12pi/12, what is the length of side A?