Law of Sines and Cosines Without Ambiguous Case

Find the indicated angle.

Solve the Triangle(s): A = 26^o, a = 5, b = 9

• no triangle possible

• B = 14^o, C = 21^o, c = 8.7

• B = 52^o, C = 102^o, c = 11.2

• B = 52^o , C = 102^o, c = 11.2

  OR

  B = 128^o, C = 26^o, c = 5.0

Use the Law of Sines to solve for BC

• 33

• 24

• 12

• 29

For which scenarios would you need to use the the Law of Sines?

• SSS

• AAS

• ASA

• SSA

• SAS

What is the measure of angle A?

• 58 degrees

• 61 degrees

• 78 degrees

• 74 degrees

Find AC

• 12

• 10

• 23

• 14

Based on the given information determine the number of unique triangles that may exist.
a = 255, b = 203, c = 172

• Law of Sines
  1 Triangle

• Ambiguous Case
  0, 1 or 2 Triangles

• Law of Cosines
  1 Triangle

Find the length of side AB. m<C = 53 degrees. m<B = 44 degrees. AC = 7.

• 8.0

• 8.8

• 9.2

• 10.3

Solve for angle X.

• 38.5^o

• 41.7^o

• 45.1^o

• 51.3^o

Find angle Z

• 18.77°

• 71.23°

• 51.06°

• 57.71°