7. Topic 7(COLON) Introduction to Trigonometry

Lesson 7.2: The Sine And Cosine Rules — Quiz

Test your understanding of lesson 7.2: the sine and cosine rules with 5 practice questions.

Practice Questions

Question 1

What is the sine rule used for in non-right-angled triangles?

Question 2

In a triangle, if the lengths of two sides are known, how can we find the area of the triangle?

Question 3

If triangle ABC has angles $ A $, $ B $, and $ C $ and sides $ a $, $ b $, and $ c $ respectively, what is the cosine rule formula?

Question 4

A triangle has sides $ a = 7 $, $ b = 5 $, and an angle $ C = 30^\circ $. What is the area of this triangle?

Question 5

When using the sine rule, what must always be true about the angles and sides being used?