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 $2$ $2$ 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 $2$ $2$ 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 · 2016-03-21T11:51:48

The length of side $A = 1.04$ $A = 1.04$

Explanation:

The angle opposite to the side A is $\frac{π}{12} = \frac{180}{12} = 15^{0}$ $pi/12=180/12=15^0$
The angle opposite to the side C is $\frac{π}{6} = \frac{180}{12} = 30^{0}$ $pi/6=180/12=30^0$
Using sine law $A/sin15=C/sin30 :. A= 2 *(sin15/sin30)=2*0.26/0.5=1.04$ [Ans]

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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 $2$ $2$ 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 $2$ $2$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ , what is the length of side A?