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 $9$ $9$ 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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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 $9$ $9$ 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 · 2018-02-18T16:12:22

Length of side $a = 4.6587$ $color(green)(a = 4.6587$

Explanation:

$ˆ A = \frac{π}{12}, ˆ C = \frac{π}{6}, c = 9$ $hat A = pi/12, hatC = pi/6, c = 9$

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

$a = \frac{c sin A}{sin C} = \frac{9 \cdot sin (\frac{π}{12})}{sin (\frac{π}{6})} = 4.6587$ $a = (c sin A )/ sin C = (9 * sin (pi/12))/sin (pi/6) = 4.6587$

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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 $9$ $9$ 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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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 $9$ $9$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ , what is the length of side A?