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The Law of Cosines February 25, 2010

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**Solving Oblique Triangles**

Solving a triangle means finding the lengths of all the sides and the measures of all the angles. This problem requires that we know three of the sides or angles.

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**The Law of Sines We use the Law of Sines if we know:**

Two angles and any side (AAS or ASA) One angle and two sides, where one of the sides is opposite the known angle (SSA)

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**Law of Cosines We use the Law of Cosines if we know:**

One angle and its two adjacent sides (SAS) All three sides (SSS)

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**Questions What about AAA?**

On page 612, why are there “Alternative Forms” of the Law of Cosines? Do we really need three equations for the Law of Cosines?

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Homework Page 617, 1 – 7 (odd)

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In section 9.2 we mentioned that by the SAS condition for congruence, a triangle is uniquely determined if the lengths of two sides and the measure of.

In section 9.2 we mentioned that by the SAS condition for congruence, a triangle is uniquely determined if the lengths of two sides and the measure of.

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