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# 5.10: Law of Sines

Difficulty Level: At Grade Created by: CK-12
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### Vocabulary Language: English

ambiguous

Ambiguous means that the given information is not specific. In the context of Geometry or Trigonometry, it means that the given data may not uniquely identify one shape.

law of cosines

The law of cosines is a rule relating the sides of a triangle to the cosine of one of its angles. The law of cosines states that $c^2=a^2+b^2-2ab\cos C$, where $C$ is the angle across from side $c$.

law of sines

The law of sines is a rule applied to triangles stating that the ratio of the sine of an angle to the side opposite that angle is equal to the ratio of the sine of another angle in the triangle to the side opposite that angle.

SSA

SSA means side, side, angle and refers to the fact that two sides and the non-included angle of a triangle are known in a problem.

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