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Solving Oblique Triangles

Problems

The Law of Cosines

Area of a Triangle

Problem : Solve Triangle ABC given that a = 51 , b = 42 , and C = 57 o .

c = 45.1 . sin(A) = .9489 . A 71.6 o . B = 180 o - A - C 51.4 o .

Problem : Solve Triangle ABC given that a = 12 , b = 7 , and c = 14 .

cos(A) = .5153 . A 59.0 o . cos(B) = .8661 . B 30.0 o . cos(C) = - .0179 . C 91.0 o . Check: A + B + C = 59 o +30 o +91 o = 180 o .

Problem : Solve Triangle ABC:

a = 4.1 . sin(B) = .6876 . B 43.4 o . C = 180 o - A - B 66.6 o .

Problem : Solve Triangle ABC:

cos(A) = - .1111 . A 96.4 o . cos(B) = .5238 . B 58.4 o . cos(C) = .9048 . C 25.2 o . Check: A + B + C = 96.4 o +58.4 o +25.2 o = 180 o .

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