Lesson 6

1. Lesson 6

1.10. Lesson 6 Summary

Mathematics 30-3 Module 5

Module 5: Geometry

 

Lesson 6 Summary

 

This diagram shows a triangle with vertices A, B, and C and sides a, b, and c.

The sine law is a relationship that exists for all triangles, including right and oblique triangles. The sine law is usually written as   or   and can be used to determine unknown lengths and angles. When using the sine law, care needs to be taken when labelling the triangle. An angle and the side across from that angle will share the same letter.

 

The sine law has many real-life contextual applications. In the following example, the length of a pipeline would have to be determined by using the given information and the sine law.

 

This is a diagram showing a stretch of pipeline path through a forest.

 

In the next lesson, you will explore the cosine law—another relationship between sides and angles in a triangle.