Two Sides and an Angle Are Given $$\mathrm { a } = 4 , \quad \mathrm {~b} = 5 , \quad \alpha = 70 ^ { \circ }$$

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.
- $$\mathrm { a } = 4 , \quad \mathrm {~b} = 5 , \quad \alpha = 70 ^ { \circ }$$

A) one triangle
$$\beta = 34 ^ { \circ } , \gamma = 76 ^ { \circ } , \mathrm { c } = 11$$
B) one triangle
$\alpha = 35 ^ { \circ } , \gamma = 75 ^ { \circ } , c = 9$
C) one triangle
$B=36^{\circ}, \gamma=74^{\circ}, C=13$
D) no triangle