Test Objectives
• Demonstrate the ability to apply the law of sines (SAA)
• Demonstrate the ability to apply the law of sines (ASA)
• Demonstrate the ability to find the area of a triangle (SAS)
Law of Sines Practice Test:

#1:

Instructions: Solve each triangle ABC. Round your answers to the nearest tenth.

$$a)\hspace{.1em}A=54°, C=69°, b=27 \hspace{.1em}\text{in}$$

$$b)\hspace{.1em}B=78°, C=66°, b=15 \hspace{.1em}\text{ft}$$

#2:

Instructions: Solve each triangle ABC. Round your answers to the nearest tenth.

$$a)\hspace{.1em}B=40°, C=17°, a=43 \hspace{.1em}\text{yd}$$

$$b)\hspace{.1em}A=30°, B=89°, c=21 \hspace{.1em}\text{yd}$$

#3:

Instructions: Solve each triangle ABC. Round your answers to the nearest tenth.

$$a)\hspace{.1em}A=38°, C=108°, c=34 \hspace{.1em}\text{km}$$

$$b)\hspace{.1em}A=61°, B=30°, c=24 \hspace{.1em}\text{km}$$

#4:

Instructions: Find the area of each triangle ABC. Round your answers to the nearest tenth.

$$a)\hspace{.1em}a=12.2\hspace{.1em}\text{mi}, B=67°, c=13.7 \hspace{.1em}\text{mi}$$

$$b)\hspace{.1em}a=7\hspace{.1em}\text{cm}, C=33°, b=13.3 \hspace{.1em}\text{cm}$$

#5:

Instructions: Find the area of each triangle ABC. Round your answers to the nearest tenth.

$$a)\hspace{.1em}c=5\hspace{.1em}\text{yd}, A=25°, C=76°$$

$$b) \hspace{.1em}a=8\hspace{.1em}\text{m}, B=74°, A=56°$$

Written Solutions:

#1:

Solutions:

$$a)\hspace{.1em}c=30.1 \hspace{.1em}\text{in}, B=57°, a=26 \hspace{.1em}\text{in}$$

$$b)\hspace{.1em}c=14 \hspace{.1em}\text{ft}, A=36°, a=9\hspace{.1em}\text{ft}$$

#2:

Solutions:

$$a)\hspace{.1em}c=15 \hspace{.1em}\text{yd}, A=123°, b=33 \hspace{.1em}\text{yd}$$

$$b)\hspace{.1em}b=24 \hspace{.1em}\text{yd}, C=61°, a=12 \hspace{.1em}\text{yd}$$

#3:

Solutions:

$$a)\hspace{.1em}a=22\hspace{.1em}\text{km}, B=34°, b=20\hspace{.1em}\text{km}$$

$$b)\hspace{.1em}a=21\hspace{.1em}\text{km}, C=89°, b=12\hspace{.1em}\text{km}$$

#4:

Solutions:

$$a)\hspace{.1em}76.9 \hspace{.1em}\text{mi}^{2}$$

$$b)\hspace{.1em}25.4 \hspace{.1em}\text{cm}^{2}$$

#5:

Solutions:

$$a)\hspace{.1em}5.4 \hspace{.1em}\text{yd}^{2}$$

$$b)\hspace{.1em}28.5 \hspace{.1em}\text{m}^{2}$$