Lesson and Practice: The Law of Sines

The law of sines (or sine rule) relates the lengths of the sides of a triangle with the sines of its angles. The apple below allows you to discover this useful law (Theorem), learn how it is obtained (Proof) and interact with a dynamic triangle (Explore!) to become familiar with this concept.

Solving a triangle means finding missing sides and angles - Let's solve one.

About the triangle in the app above, we know that , and . Solve the triangle.

To be or not to be....

Use the law of sines to show if a triangle with: , and does exist or not. Explain you reasoning below.