Law of Cosines

Practice Questions

Trigonometry › Law of Cosines

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1

Given , and determine to the nearest degree the measure of $\angle B$ .

2

If , and , determine the measure of $\angle C$ to the nearest degree.

3

Which famous theorem does the Law of Cosines boil down to for right triangles?

4

Find the value of to the nearest tenth.

5

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Using the Law of Cosines, determine the perimeter of the above triangle.

6

If $\small a=5$ , $\small b=12$ , and $\small c=13$ find $\small \angle C$ to the nearest degree.

7

If $\small a=4$ , $\small b=3$ , $\small c=5$ , find $\small \angle B$ to the nearest degree.

8

If $\small a=10$ , $\small b=6.2$ , and $\small c=4.8$ , find $\small \angle A$ to the nearest degree.

9

If $\small a=10$ , $\small b=6.7$ , $\small \angle C$ = $\small 45^o$ find $\small c$ to the nearest tenth.

10

If $\small a=8.4$ , $\small b=11.2$ , $\small \angle C$ = $\small 22^o$ , find the length of side $\small c$ to the nearest tenth of a degree.

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