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

question 71

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

---

Definitions:

Butterscotch

A type of confectionery made primarily of brown sugar and butter, often used as a flavoring in desserts.

Retirement Career

A job or profession undertaken after retiring from one's principal career, often with less working hours and responsibilities.

Age At Retirement

The age at which an individual stops full-time work and begins to draw retirement benefits.

Chi-Square Test

A statistical test used to determine the difference between observed and expected frequencies in one or more categories.