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Law of Cosines

This lesson explores the Law of Cosines and its application in solving triangles. We compare it to the Law of Sines, which effectively works in specific cases such as ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and SSA (Side-Side-Angle) while acknowledging the ambiguity in SSA cases. The Law of Sines falls short in SAS (Side-Angle-Side) configurations because it requires the side opposite the known angle to solve for the remaining sides or angles, which is not possible without the cosine rule. Learn when to apply each law effectively.

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Law of Cosines

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    1. Lesson 6.5 Law of Cosines

    2. Solving a Triangle using Law of Sines 2 The Law of Sines was good for: ASA - two angles and the included side AAS - two angles and any side SSA - two sides and an opposite angle (being aware of possible ambiguity) Why would the Law of Sines not work for an SAS triangle?

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