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

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
$\alpha=35^{\circ}, \gamma=75^{\circ}, \mathrm{c}=9$

C) one triangle
$\beta = 36 ^ { \circ } , \gamma = 74 ^ { \circ } , \mathrm { c } = 13$

D) no triangle