Lesson Objective

Use the law of sines to solve oblique triangles
Find the area of oblique triangles and use the law of sines to model real life problems

How do you use trigonometry to solve and find the areas of oblique triangles?

Law of Sines, oblique triangle,

HSG-SRT.D.11: Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).

Use Khan Academy

Because many real life applications of trigonometry involve triangles that are oblique, students will learn how to use the Law of Sines to find missing angles and side lengths of those triangles.

Use Law of Sines to help determine the distance a boat is offshore

Some students incorrectly label their triangles before applying the Law of Sines. Remind them that the sides of the triangle correspond to the opposite angles.

It may be helpful to have students measure the distance between objects in the classroom or school that form oblique triangles. Students can use the Law of Sines to find the unknown lengths.

Use common resources

PreCalc with Limits.