We use Law of Sines and Law of Cosines to solve for a triangle. When we say solve for a triangle, we need to find all three sides and three angles. However, when we apply Law of Sines, we will encounter some case called ambiguous case. This means there may be two triangles, one triangle, or no triangle with the given properties. Please keep this in mind when solving the following problems with Law of Sines: Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any resulting triangle(s). 1) а %3 2, b %3 3, В — 40° 2) a = 3, 6 = 7, B= 70° 3) а 3 5, b — 3, В %3D 100°
We use Law of Sines and Law of Cosines to solve for a triangle. When we say solve for a triangle, we need to find all three sides and three angles. However, when we apply Law of Sines, we will encounter some case called ambiguous case. This means there may be two triangles, one triangle, or no triangle with the given properties. Please keep this in mind when solving the following problems with Law of Sines: Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any resulting triangle(s). 1) а %3 2, b %3 3, В — 40° 2) a = 3, 6 = 7, B= 70° 3) а 3 5, b — 3, В %3D 100°
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section: Chapter Questions
Problem 1GP
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Transcribed Image Text:We use Law of Sines and Law of Cosines to solve for a triangle. When we say solve for a triangle, we need to find all three sides and three
angles. However, when we apply Law of Sines, we will encounter some case called ambiguous case. This means there may be two triangles,
one triangle, or no triangle with the given properties. Please keep this in mind when solving the following problems with Law of Sines:
Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve
any resulting triangle(s).
1) а %3 2, b %3 3, В — 40°
2) a = 3, 6 = 7, B= 70°
3) а 3 5, b — 3, В %3D 100°
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