A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{6}$ $pi/6$ . If side C has a length of $7$ $7$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ , what is the length of side A?

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Answer 1 · 2018-02-18T10:23:51

Length of side A $= 3.6235$ $= color (green)(3.6235$

Given : hatC = pi/6, hatA = pi/12, c = 7#

To find side a.

As per the law of sines,

$\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}$ $a / sin A = b / sin B = c / sin C$

$:. a= (c * sin A) / sin C$

$a = (7 * sin (pi/12))/sin (pi/6) = 3.6235$

A triangle has sides A, B, and C. The angle between sides A and B is pi/6π6pi/6. If side C has a length of 7 77 and the angle between sides B and C is pi/12π12pi/12, what is the length of side A?