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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.
Obtuse Triangle ABC v2






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?
Obtuse Triangle ABC v1






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.
Equilateral Triangle ABC v1






5. 
Find the value of angle A.
AB = 67
AC = 54
BC = 32
Obtuse Triangle ABC v3






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