The Ambiguous Case

B = 22°, b = 16.8, a = 22.42

• a > b

  A = 30°, C = 128°, c = 35.3

• No possible triangles

• h < a < b

  A = 30°, C = 128°, c = 35.3

  A = 150°, C= 8°, c = 6.2

• a > b

  A = 122°, C= 23.5°, c = 6.57

B = 96°, b = 3 , a = 34

• No possible triangles

• a > b

  A = 8°, C = 76° , c = 3

• h < a < b

  A = 8°, C = 76° , c = 3

  A = 12°, C = 80° , c = 4.6

• a > b

  A = 7.1°, C = 79.6° , c = 3

Using the Laws of Sine, solve for AB

• 27.4

• 28

• 14

• 37

A = 30°, a = 9 , b = 8

• a>b

  B = 124°, C = 26° , c = 30

• a=h

  B = 26.37°, C = 122° , c = 30.1

• a>b

  B = 26°, C = 124° , c = 30

• No possible triangles

A = 120°, a = 250 , b = 195

• a = h

  B =42.49° , C = 17.51° , c = 86.83

  B = 6.65° , C = 3.35° , c = 4.04

• No possible Triangles

• a > h

  B =42.49° , C = 175. 1° , c = 87

• a > b

  B =42.49° , C = 17.51° , c = 86.84

A = 10° , a = 10, b = 5

• a > b

  B = 4.98° , C = 165.02° , c = 14.89

• h < a < b

  B = 39.73° , C = 139.73° , c = 18.45

  B = 59.68° , C = 140.32° , c = 10.32

• a > b

  B = 4.97° , C = 153.75° , c = 23

• No possible triangles

A = 68°, c = 34 , a = 9

• a > b

  B = 54° , C = 35° , c = 9

• No possible triangles

• a > b

  B = 68.4°, C = 17.6°, c = 5

• h < a < b

  B = 22.02° , C= 28.2° , c = 6.7

  B = 38.4°, C = 17.23°, c = 8

Using the Laws of Sine, what is the measure of angle A?

• 61°

• 87.23°

• 78°

• 58°

Using the Laws of Sine, solve for BC

• 33°

• 31°

• 45°

• 12°

A = 60° , a = 170 , b = 180

• h < a < b

  B = 66.49° , C = 7.51° , c = 157.82

  B = 92.51° , C = 2.49° , c = 15.26

• h < a < b

  B = 66.49° , C = 53.51° , c = 157.82

  B = 113.51° , C = 6.49° , c = 22.18

• a = h

  B = 22.02° , C = 127.98° , c = 252.25

• No possible triangles