# Law of Cosines (Grades 11-12)

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## Law of Cosines

1.

For [math]Delta ABC[/math] with sides a, b, and c, state the law of cosines.

2.

For [math] \triangle ABC, \ a = 25, b = 18, [/math] and [math] ang C = 15deg[/math]. Find the length of side c.

3.

For triangle ABC, side c is 21, side b is 6, and angle A is 100°. What is the length of side a, to one decimal place?

4.

Given [math] Delta ABC [/math], where [math] ang B = 50°, a = 5, c = 4.5[/math], find the length of side b to two decimal places.

5.

Find the value of angle A.

AB = 67

AC = 54

BC = 32

AB = 67

AC = 54

BC = 32

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