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Mastering the Law of Sines for Triangle Solutions

Explore the Law of Sines for solving non-right triangles. Learn how to find missing angles and sides using the sine ratios.

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Mastering the Law of Sines for Triangle Solutions

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  1. Section 5-6 The Law of Sines

  2. The Law of Sinescan be used to solve triangles that are not right triangles. A b c C a B a = b = c sin A sin B sin C

  3. Solve ∆ABC if A=33°, B=105°, and b =37.9

  4. Solve ∆LMN if L=29°, M=112°, and l =22 M L N

  5. Solve ∆LMN if L=29°, M=112°, and l =22 M 112° n 22 29° L m N m sin 29 = 22 sin 112 m= 42.1 Still need values for N and n

  6. N= 39° n= 28.6

  7. Solve ∆ABC if A=41°, B=49°, and a =6.5 A c b B a C

  8. Solve ∆ABC if A=41°, B=49°, and a =6.5 A 41° c b 49° B 6.5 C C=90° b=7.5 c=9.9

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