Showing posts with label alternative forms of law of cosines. Show all posts
Showing posts with label alternative forms of law of cosines. Show all posts

Sunday, April 13, 2014

6.2 Law of Cosines

6.2: Law of Cosines

Derivation of the Law of Cosine 














Standard Form Law of Cosines:
-The Law of Cosines can be used to solve triangles that you have two sides and the angle between them (SAS)







Alternative Forms of Law of Cosines
-These forms of the Law of Cosine can be used to solve a triangle that you have all of the side lengths for, but no angles (SSS)







Example:

Find the angles of this triangle










































Heron's Area Formula 

-Heron's Formula can be used to find the area of any triangle as long as you have the side lengths.
 where 

Example:
     s=49