Law of Sines and Ambiguous Case

Determine how many triangles exist based on the given information. Then solve the triangle(s).

A = 60° , a = 170 , b = 180

• B = 66.49° , C = 7.51° , c = 157.82

  B = 92.51° , C = 2.49° , c = 15.26

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

  B = 113.51° , C = 6.49° , c = 22.18

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

• No possible triangles

Determine how many triangles exist based on the given information. Then solve the triangle(s).

A = 68°, c = 34 , a = 9

• B = 54° , C = 35° , c = 9

• No possible triangles

• B = 68.4°, C = 17.6°, c = 5

• B = 22.02° , C= 28.2° , c = 6.7

  B = 38.4°, C = 17.23°, c = 8

Determine how many triangles exist based on the given information. Then solve the triangle(s).

A = 10° , a = 10, b = 5

• B = 4.98° , C = 165.02° , c = 14.89

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

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

• B = 4.97° , C = 153.75° , c = 23

• No possible triangles

Which Law would you use?

• Law of Sines

• Law of Cosines

• Law of the Jungle

• Law of Gravity

Find AC to the nearest tenth.

• 33.4

• 35

• 31.9

• 30

Find PQ to the nearest tenth.

• 17

• 18.7

• 15.7

• 14.7

Find HP to the nearest tenth.

• 29.3

• 23.2

• 24.1

• 27.5

Calculate the length of BC

• 24

• 20

• 27

• 23

Identify the Law of Sines

• Soh Cah Toa

Which equation shows how you would use the law of sines to find angle A?