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Geometry 8.6 Law of Sines and Law of Cosines Intro • Trig learned so far this chapter only applied to right triangles. (30-60-90, SOH-CAH-TOA, ect.) • Trig in this section can be used to find missing measures in ANY triangle. Law of Sines • sin A sin B sin C a b c -The law of sines is used when you know two angles and one side (AAS or ASA). Example 1 • Find x. Round to the nearest tenth. Example 2 • Find x, round to the nearest degree. Law of Cosines • a2 = b2 + c2 – 2bc cos A • b2 = a2 + c2 – 2bc cos B • c2 = a2 + b2 – 2bc cos C • The Law of Cosines is used when you know two sides and their included angle (SAS) or three sides (SSS). Example 3 • Find x. Round to the nearest tenth. Example 4 • Find x, round to the nearest degree. Example 5 • Solve triangle ABC. (Find all missing sides and angles.)
