Using the sine and cosine rules to find a side or angle in a triangle test questions

1

Using the Sine Rule, calculate the size of angle K.

Give your answer correct to one decimal place.

Diagram of a triangle with 37° angle and 4.3cm and 6.8cm values

2

Using the Sine Rule, calculate the length of PQ.

Give your answer correct to one decimal place.

Diagram of a triangle with 32° angle and 101° angle with 5.7cm value

3

Using the Sine Rule, calculate the size of angle A.

Give your answer correct to one decimal place.

Diagram of a triangle with 101∞ angle and 5.2cm and 7.9cm values

4

A triangle has lengths AB = 5.7 cm, BC = 7.1 cm and AC = 4.1 cm.

Calculate the size of \(\angle ABC\).

Give your answer correct to one decimal place.

5

Calculate the size of angle Q.

Give your answer correct to one decimal place.

Diagram of a triangle with 5cm, 6cm and 3cm values

6

Use the Cosine Rule to calculate the length of YZ.

Give your answer correct to one decimal place.

Diagram of a triangle with 40° angle and 3.2cm and 5.3cm values

7

Use the Cosine Rule to calculate the length of XZ.

Give your answer correct to one decimal place.

Diagram of a triangle with 102° angle and 5.2cm and 4.3cm values