5.6 Law of Cosines.

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Copyright © 2011 Pearson, Inc. 5.6 Law of Cosines Goal: Apply the Law of Cosines.

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Presentation transcript:

5.6 Law of Cosines

What you’ll learn about Deriving the Law of Cosines Solving Triangles (SAS, SSS) Triangle Area and Heron’s Formula Applications … and why The Law of Cosines is an important extension of the Pythagorean theorem, with many applications.

Law of Cosines

Example Solving a Triangle (SAS)

Example Solving a Triangle (SAS)

Example Solving a Triangle (SAS)

Area of a Triangle

Heron’s Formula

Example Using Heron’s Formula Find the area of a triangle with sides 10, 12, 14.

Example Using Heron’s Formula Find the area of a triangle with sides 10, 12, 14.