Solving for Triangle Angle with Known Side Measurements | Trigonometry Question

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Homework Help Overview

The discussion revolves around finding an angle in a triangle when all three side lengths are known, specifically within the context of trigonometry.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster seeks methods to determine an angle using the known side lengths. Some participants mention the Law of Cosines as a potential approach, while others suggest exploring the validity of this law and its proof.

Discussion Status

Participants are exploring different aspects of the problem, including the application of the Law of Cosines and its underlying principles. There is no explicit consensus, but guidance on resources and further inquiry has been provided.

Contextual Notes

There is an emphasis on understanding the reasoning behind the Law of Cosines, suggesting a focus on conceptual clarity rather than just application.

Poweranimals
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Well, does anyone know how to solve for an angle of a triangle if you already have the measurements of all three sides? Any help would be appreciated.
 
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Yes, you can use the law of Cosines to find the measure of any angle given the three sides, or the third side given an angle and two sides.

Try this link : http://hyperphysics.phy-astr.gsu.edu/hbase/lcos.html

Remember, in the diagram, the angles are the Capital A, B, and C, and the sides are the opposite and are little a, b , and c.
 
Last edited:
That is more than a hint ! :wink:
 
You may still want to find out why the Law of Cosines is valid. I strongly suggest that you do. Check out the proof here.
 

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