Worksheet: The Cosine Rule

In this worksheet, we will practice using the cosine rule to find missing sides and angles in different triangles.

Q1:

Find the length of side 𝑎 of the triangle shown.

Q2:

Find the perimeter of the parallelogram shown in the diagram.

Q3:

Find the perimeter of the triangle shown in the diagram.

Q4:

Find the size of angle 𝐴, in degrees, of the triangle shown.

Q5:

Find the size of angle 𝐴, in degrees, of the triangle shown.

Q6:

Find the length of side 𝑎 of the triangle shown.

Q7:

Find the perimeter of the triangle shown in the diagram.

Q8:

The diagram shows a triangle with three sides of different lengths.

Find the size of angle 𝐴 in degrees to the nearest degree.

Find the size of angle 𝐵 in degrees to the nearest degree.

Find the size of angle 𝐶 in degrees to the nearest degree.

Q9:

Find the perimeter of the triangle shown in the diagram.

Q10:

Find the size of angle 𝐵, in degrees, of the triangle shown in the diagram.

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