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Law of Cosines: SAS SSS ASS. ?. 19. 114 o. 42. Law of Cosines - SAS. B. In ΔABC, a=19, b=42, m C = 114 o . Find c. c. a. b. A. C. c 2 = a 2 + b 2 – 2 · a · b · cos C. c 2 =19 2 + 42 2 – 2 ·19·42 · cos 114 0. c 52.67. 53. 19. ?. 42. Law of Cosines - SSS. E.
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? 19 114o 42 Law of Cosines - SAS B In ΔABC, a=19, b=42, mC = 114o.Find c. c a b A C c2 = a2 + b2 – 2 · a · b · cos C c2 =192 + 422 – 2·19·42 · cos 1140 c 52.67
53 19 ? 42 Law of Cosines - SSS E In ΔDEF, d=19, e=42, f=53.Find mF. D F f 2 = d2 + e2 – 2 · d · e · cos F 532 =192 + 422 – 2·19·42 · cos F 2809= 2125 – 1596 · cos F 2809– 2125= -1596 · cos F 684 = -1596 · cos F
Law of Cosines - ASS X In ΔXYZ, mY=20o,z=53, y=19. Find x. 53 19 19 20o Y x Z Z y2 = x2 + z2 – 2 · x · z · cos Y 192 = x2 + 532 – 2·x·53 · cos 20o 0 = 1x2 +(- 2·53·cos 20o)x+ (532 – 192)
Law of Cosines - ASS X In ΔXYZ, mY=20o,z=53, y=19. Find x. 53 19 19 20o Y x Z Z 44.1 y2 = x2 + z2 – 2 · x · z · cos Y 192 = x2 + 532 – 2·x·53 · cos 20o 0 = 1x2 +(- 2·53·cos 20o)x+ (532 – 192)
Law of Cosines - ASS X In ΔXYZ, mY=20o,z=53, y=19. Find x. 53 19 19 19 19 20o Y x Z Z Z Z 55.5 y2 = x2 + z2 – 2 · x · z · cos Y 192 = x2 + 532 – 2·x·53 · cos 20o 0 = 1x2 +(- 2·53·cos 20o)x+ (532 – 192)
