Solving Triangles Using The Law of Sines

Tutoring on Solving Triangles Using The Law of Sines

Learning Objectives:

Understand and Apply Solving Triangles Using The Law of Sines

Math Tutoring on Solving Triangles using the Law of Sines

A triangle that is not a Right Triangle is called an Oblique Triangle. The Law of Sines will allow us to solve Oblique Triangles.

Requirements for solving Oblique Triangles using the Law of Sines in math tutoring:

·       AAS or ASA: One side and two angles are known.

·       SSA: Two sides and one angle not included between the two sides are known. This may lead to more than one triangle.

The Law of Sines:

The Law of Sines is a relationship among the angles and sides of a triangle. The ratio of the Sine of any of the interior angles to the length of the side opposite that angle is the same for all three interior angles and it is constant. So for any triangle ABC with sides a, b & c

                         or             

We can determine Area of a Triangle if given SAS. For any triangle ABC with sides a, b & c, the Area will be:

 

 

 

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Hook Questions:

1.    What is an Oblique Triangle?

2.    State the Law of Sines and prove it?

3.    What are the requirements to solve an Oblique Triangle using the Law of Sines?

 

 

 

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