A triangle has sides A, B, and C. The angle between sides A and B is $\frac{7 π}{12}$ $(7pi)/12$ . 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 $\frac{7 π}{12}$ $(7pi)/12$ . 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 · 2016-06-21T10:53:24

Length of side A is $0.54 (2 d p)$ $0.54 (2dp)$ unit

Explanation:

The angle between sides A and B is $∠ C = \frac{7 π}{12} = 105^{0}$ $/_C = (7 pi)/12 =105^0$
The angle between sides B and C is $∠ A = \frac{π}{12} = 15^{0}$ $/_A = pi/12 =15^0$
$C = 2$ $C=2$ (given) .Applying sine law $\frac{A}{sin A} = \frac{C}{sin C}$ $A/sinA=C/sinC$ we get $A = 2 \cdot (\frac{sin 15}{sin 105}) = 0.54 (2 d p)$ $A= 2*(sin15/sin105) = 0.54 (2 dp)$ unit [Ans]

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A triangle has sides A, B, and C. The angle between sides A and B is $\frac{7 π}{12}$ $(7pi)/12$ . 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 7π12(7pi)/12. If side C has a length of 22 and the angle between sides B and C is π12pi/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 $\frac{7 π}{12}$ $(7pi)/12$ . 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?