# 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 [math]angA[/math], side b is opposite [math]angB[/math], and side c is opposite [math]angC[/math], if [math]angA=20deg[/math], [math]angB = 80deg[/math], 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 [math]angA[/math], side b is opposite [math]angB[/math], and side c is opposite [math]angC[/math], if [math]angA=63deg[/math], [math]angB=59deg[/math], and b = 15, use the law of sines to write an equation you use to solve for a.

4.

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

5.

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

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