Sine and cosine rules and area of a triangle Quiz

1. In triangle $ABC$, $a=7$, $A=30^{\circ}$ and $B=45^{\circ}$. Find $b$.

• A. $4.95$
• B. $14.0$
• C. $9.90$
• D. $6.06$

2. Find $c$ when $a=6$, $b=10$ and $C=60^{\circ}$.

• A. $8.72$
• B. $11.7$
• C. $76$
• D. $14.0$

3. Find the area of a triangle with sides $9$ and $14$ and included angle $40^{\circ}$.

• A. $63.0$
• B. $48.2$
• C. $81.0$
• D. $40.5$

4. In triangle $ABC$, $A=30^{\circ}$, $a=5$ and $b=8$. How many triangles are possible?

• A. None
• B. One
• C. Two
• D. Three

5. A triangle has sides $7$, $8$ and $9$. Find its largest angle.

• A. $48.2^{\circ}$
• B. $73.4^{\circ}$
• C. $58.4^{\circ}$
• D. $106.6^{\circ}$