Practice with
Law of Cosines

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Solve the following problems dealing with Law of Cosines. 
 

1.


In , m<C = 42,
a = 19 and b = 26.  Find the length of side c,
to the nearest integer.
 

Answer 

 

 

2.

In a rhombus whose side measures 22 and the smaller angle is 55, find the length of the larger diagonal, to the nearest tenth.

Answer 

 

 

3.

Point A is 100 ft on a horizontal line from point B.  Point C, on a line with a 20 degree rise from the horizontal, is 80 ft. from point B.  Find the distance from A to C, to the nearest integer.

 

 Answer 

 

 

4.

In a rhombus with a side of 24, the longer diagonal is 36.  find, to the nearest degree, the larger angle of the rhombus. 

Answer 

 

 

5.

A triangular walking course has 2 sides of 230 feet and 360 feet, and the angle between these sides measures 38.  Find the length of the third side of the course, to the nearest foot.

Answer 

 

 

6.

Three sides of a triangle measure 20m, 30m, and 40m.  Find the largest angle of the triangle to the nearest degree.

Answer