Solving Oblique Triangles

Math
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Summary

Problems 3

Summary Problems 3

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

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

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

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

Problem : Solve Triangle ABC:

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

Problem : Solve Triangle ABC:

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