Solving for Triangle Angle with Known Side Measurements | Trigonometry Question

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To solve for an angle in a triangle when all three side measurements are known, the Law of Cosines can be applied. This law allows for the calculation of any angle based on the lengths of the sides. The angles are denoted as A, B, and C, while the corresponding opposite sides are labeled a, b, and c. Understanding the validity of the Law of Cosines is encouraged, and resources for proof are available. Utilizing these methods will effectively yield the desired angle measurement.
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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.
 
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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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