CK-12 Geometry Concepts

(Elliott) #1

8.10. Laws of Sines and Cosines http://www.ck12.org


8.10 Laws of Sines and Cosines


Here you’ll learn how to solve for missing sides and angles in non-right triangles using the Laws of Sines and
Cosines.


What if you wanted to solve for a missing side in a non-right triangle? How could you use trigonometry to help you?
After completing this Concept, you’ll be able to use the Law of Sines and the Law of Cosines to answer questions
like these.


Watch This


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CK-12 Foundation: Chapter8LawsofSinesandCosinesA


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James Sousa:TheLawof Sines


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James Sousa:TheLawof Cosines


Guidance


Law of Sines:If 4 ABChas sides of length,a,b, andc, thensinaA=sinbB=sincC.


Looking at a triangle, the lengthsa,b, andcare opposite the angles of the same letter.


UseLawofSineswhengiven:



  • An angle and its opposite side.

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