A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{8}$ $pi/8$ . 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 $\frac{π}{8}$ $pi/8$ . 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 · 2016-03-23T11:51:17

The length of side A is 6.1 units

Explanation:

The opposite angle of side C(9) is $\frac{π}{8} = {22.5}^{0}$ $pi/8=22.5^0$
The opposite angle of side A(?) is $\frac{π}{12} = 15^{0}$ $pi/12=15^0$ Applying sine law
we get $\frac{A}{sin 15} = \frac{C}{sin 22.5}$ $A/sin15=C/sin22.5$ or $A = 9 \cdot (\frac{sin 15}{sin 22.5}) = 9 \cdot 0.68 = 6.1$ $A= 9*(sin15/sin22.5)= 9 * 0.68 =6.1$

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A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{8}$ $pi/8$ . 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 π8pi/8. If side C has a length of 99 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 $\frac{π}{8}$ $pi/8$ . 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?