A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{4}$ $pi/4$ . If side C has a length of $3$ $3$ 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 · 2018-05-24T02:58:44

Length of side $c = 1.1$ $color(brown)(c = 1.1$

Given : $ˆ A = \frac{π}{12}, ˆ C = \frac{π}{4}, c = 3, a = ?$ $hat A = pi/12, hat C = pi/4, c = 3, a = ?$

As per Law of Sines,

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

$a = \frac{3 \cdot sin (\frac{π}{12})}{sin (\frac{π}{4})}$ $a = (3 * sin (pi/12)) / sin (pi/4)$

Length of side $c = 1.1$ $color(brown)(c = 1.1$

A triangle has sides A, B, and C. The angle between sides A and B is pi/4π4pi/4. If side C has a length of 3 33 and the angle between sides B and C is pi/12π12pi/12, what is the length of side A?