Section 6.2 Law of Sines.pdf

# Section 6.2 Law of Sines.pdf - Section 6.2 Law of Sines A...

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Section 6.2 Law of Sines A. Solving Oblique Triangles (Background) Oblique triangles are triangles with no right angles. Two triangles with any of the following equal parts are said to be congruent. Each of the following determine a unique triangle o ASA: angle-side-angle o AAS: angle-angle-side o SAS: side-angle-side o SSS: side-side-side SSA triangles do not guarantee unique triangles, but there can be at most two triangles with the given parts AAA triangles guarantee similar triangles, but not congruent triangles. AAA triangles have infinitely many triangles with the same three angle measures. Solving Oblique Triangles: Case 1 : Two angles and a side are known (AAS and ASA) Case 2: Two sides and an angle opposite one of the given sides are known (SSA) Case 3 : Two sides and their included angle are known (SAS) Case 4: All three sides are known (SSS) B. The Law of Sines

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C. Solving AAS and ASA Triangles Ex. 1: Solve triangle ??? with ? = 62°, ? = 14 ????, and ? = 74°. Round side lengths to the nearest tenth. D. Solving SSA Triangles- the Ambiguous Case

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