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Section 6.2 The Law of Cosines The Law of Cosines and Its Derivation Deriving the Law of Cosines Solving Oblique Triangles Example Find the unknown side, and two unknown angles. b 8 inches 1200 c 10 inches Example Find all three unknown angles. b 12 inches c 4 inches a 7 inches Application of the Law of Cosines Example Find angle between the two paces for both the carnivore and the herbivore. Example If you are on island B, what bearing should you navigate to go to island C ? 4 Miles 3 Miles If you are on island B, what bearing should you navigate to go to island A? 2 Miles Heron’s Formula Example Bob Fernando's triangular property has the measurements of 40 yards, 50 yards and 30 yards. Find the area of the property. b 8 inches a 49 0 c 7 inches (a) 39.52 inches (b) 6.85 inches (c) 38.85 inches (d) 6.29 inches Find the measure of side a. b 8 inches c 8 inches (a) 49.87 0 (b) 51.89 0 (c) 61.72 0 (d) 68.980 a 7 inches Find the measure of angle A.