- Demonstrate the ability to solve oblique triangles (SAS) using the law of cosines
- Demonstrate the ability to solve oblique triangles (SSS) using the law of cosines
- Demonstrate the ability to find the area of a triangle using Heron's formula
#1:
Instructions: Solve each triangle. Round your answer to the nearest tenth.
$$a)\hspace{.1em}a=17 \hspace{.1em}\text{ft}, B=112°, c=26 \hspace{.1em}\text{ft}$$ 
$$b)\hspace{.1em}b=23 \hspace{.1em}\text{cm}, C=100°, a=24 \hspace{.1em}\text{cm}$$ 
Watch the Step by Step Video Lesson View the Written Solution
#2:
Instructions: Solve each triangle. Round your answer to the nearest tenth.
$$a)\hspace{.1em}a=18 \hspace{.1em}\text{mi}, c=17 \hspace{.1em}\text{mi}, b=30 \hspace{.1em}\text{mi}$$ 
$$b)\hspace{.1em}a=25 \hspace{.1em}\text{ft}, c=27 \hspace{.1em}\text{ft}, b=28 \hspace{.1em}\text{ft}$$ 
Watch the Step by Step Video Lesson View the Written Solution
#3:
Instructions: Solve each triangle. Round your answer to the nearest tenth.
$$a)\hspace{.1em}a=19 \hspace{.1em}\text{yd}, B=130°, c=14 \hspace{.1em}\text{yd}$$ 
$$b)\hspace{.1em}a=11 \hspace{.1em}\text{cm}, c=17 \hspace{.1em}\text{cm}, b=10 \hspace{.1em}\text{cm}$$ 
Watch the Step by Step Video Lesson View the Written Solution
#4:
Instructions: Find the area using Heron's formula. Round your answer to the nearest tenth.
$$a)\hspace{.1em}a=9 \hspace{.1em}\text{m}, c=15 \hspace{.1em}\text{m}, b=16 \hspace{.1em}\text{m}$$ 
$$b)\hspace{.1em}a=14 \hspace{.1em}\text{cm}, c=13 \hspace{.1em}\text{cm}, b=16 \hspace{.1em}\text{cm}$$ 
Watch the Step by Step Video Lesson View the Written Solution
#5:
Instructions: Find the area using Heron's formula. Round your answer to the nearest tenth.
$$a)\hspace{.1em}b=6.8 \hspace{.1em}\text{in}, C=120°, a=5 \hspace{.1em}\text{in}$$ 
$$b)\hspace{.1em}a=15 \hspace{.1em}\text{mi}, B=78°, c=12 \hspace{.1em}\text{mi}$$ 
Watch the Step by Step Video Lesson View the Written Solution
Written Solutions:
#1:
Solutions:
$$a)\hspace{.1em}C=42°, A=26°, b=36 \hspace{.1em}\text{ft}$$
$$b)\hspace{.1em}A=41°, B=39°, c=36 \hspace{.1em}\text{cm}$$
Watch the Step by Step Video Lesson
#2:
Solutions:
$$a)\hspace{.1em}C=30°, A=32°, B=118°$$
$$b)\hspace{.1em}C=61°, A=54°, B=65°$$
Watch the Step by Step Video Lesson
#3:
Solutions:
$$a)\hspace{.1em}C=21°, A=29°, b=30 \hspace{.1em}\text{yd}$$
$$b)\hspace{.1em}A=38°, B=34°, C=108°$$
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#4:
Solutions:
$$a)\hspace{.1em}66.3 \hspace{.1em}\text{m}^2$$
$$b)\hspace{.1em}86.8 \hspace{.1em}\text{cm}^2$$
Watch the Step by Step Video Lesson
#5:
Solutions:
$$a)\hspace{.1em}14.7 \hspace{.1em}\text{in}^2$$
$$b)\hspace{.1em}88 \hspace{.1em}\text{mi}^2$$
