Sunday, April 17, 2016

6.2: Law of Cosines

Law of cosines 
In section 6.2 the law of cosines is introduced. The law of cosines can be used when solving for sides and angles of a triangle. There are two cases where the law of cosines can be applied. 
- Side angle side (SAS)
- Side side side (SSS)


Deriving the law of cosines 



This form can be written a total of three ways and would be used when trying to find the opposite side of a known angle (SAS). 

The law of cosines can also be written another way. When using these forms, all side lengths are known (SSS) and an angle is solved for. 

Heron's formula

Heron's formula can be used to find the area of a triangle using its side lengths, where s equals the semi-perimeter. 

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