Two Sides and an Angle Are Given $$a = 7 , \quad b = 9 , \quad \beta = 49 ^ { \circ }$$

Multiple Choice

Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no
triangle at all. Solve any triangle(s) that results.
- $$a = 7 , \quad b = 9 , \quad \beta = 49 ^ { \circ }$$

A) two triangles
$$\begin{array}{l}\alpha_{1}=76.01^{\circ}, \gamma_{1}=54.99^{\circ}, c_{1}=7.60 \text { or } \\\alpha_{2}=103.99^{\circ}, \gamma_{2}=27.01, c_{2}=12.14\end{array}$$
B) one triangle
$$\alpha=35.94^{\circ}, \gamma=95.06^{\circ}, \mathrm{c}=11.88$$
C) one triangle
$$\alpha=76.01^{\circ}, \gamma=54.99^{\circ}, c=7.60$$

D) no triangle