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Law of Sines: Circumcircle Proof

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First published at 06:10 UTC on October 29th, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over the law of sines again but this time write it in the more advanced and less common form which includes the diameter of the corresponding circumcircle that is formed around any triangle. This version of the law of sines states…

a/sinA = b/sinB = c/sinC = D

where:

- a, b, c are the lengths of the triangle
- A, B, C are the corresponding opposite angles
- D is the diameter of the circumcircle

In this proof, I utilize the basic proof of the law of sines as well as taking into account the inscribed angle theorem which allows us to include the Diameter of the circumcircle in the relation between the angles and lengths of the triangle.

Download the notes in my video: http://1drv.ms/1BAvWLC

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/law-of-sines-circumcircle-proof

Related Videos:

Law of Sines: Basic Proof: http://youtu.be/_HDM60RRh8U
Inscribed Angle Theorem: Corollary Properties: http://youtu.be/ONHVPKkdGGI
Inscribed Angle Theorem: Inscribed on Minor Arc: http://youtu.be/53ueXQa8OEM
Inscribed Angle Theorem: http://youtu.be/XZKogfeUSlY .

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