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# Law of Sines (Grades 11-12)

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## Law of Sines

1.
State the law of sines for triangle ABC with sides a, b, and c.

2.
Given side a is opposite $angA$, side b is opposite $angB$, and side c is opposite $angC$, if $angA=20deg$, $angB = 80deg$, and b = 8, use the law of sines to write an equation you can use to solve for a.

3.
Given side a is opposite $angA$, side b is opposite $angB$, and side c is opposite $angC$, if $angA=63deg$, $angB=59deg$, and b = 15, use the law of sines to write an equation you use to solve for a.

4.
Given side a is opposite $angA$, side b is opposite $angB$, and side c is opposite $angC$, use the law of sines to solve triangle ABC when $angA = 50deg$, $angC = 45deg$, and $a = 10$. Round answers to one decimal place.

5.
Given side a is opposite $angA$, side b is opposite $angB$, and side c is opposite $angC$, use the law of sines to solve triangle ABC when $angA = 86deg$, $angB = 15deg$, and $b = 5$. Round answers to one decimal place.

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