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- How many triangles ABC have the given parts?A = 30^\circ,\ b = 18,\ a = 9A = 45^\circ,\ b = 8,\ a = 6A = 20^\circ,\ b = 25,\ a = 8A = 120^\circ,\ b = 7,\ a = 9A = 100^\circ,\ b = 12,\ a = 12
- In triangle ABC, the angle B = 30^ and the side a = 10 are fixed, and the side b across from B can be any length.
- In triangle ABC, A = 40^, a = 15 and b = 12.
- In triangle ABC, B = 56^, b = 23 and c = 25.
- A straight road leaves a junction J.
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The ambiguous case: the lesson ›More Chapter 7 worksheets: Laws of sines and cosines
- 7.1Law of sines
- 7.2The ambiguous case
- 7.3Law of cosines
- 7.4Area from two sides and the included angle
- 7.5Heron's formula
- 7.6Applications of oblique triangles
- 7.7Bearings and navigation