Law of Sines and Ambiguous Case

How many triangles can you make if A=53, b=6, and a=4?

• 0
• 1
• 2
• Infinitely many

How many triangles can you make if A=53, b=6, and a=5?

• 0
• 1
• 2
• Infinitely many

How many triangles can you make if A=53, b=6, and a=7?

• 0
• 1
• 2
• Infinitely many

Identify the Law of Sines

• Sin²x + Cos²x =1
• Sin(A)/a = Sin(B)/b = Sin(C)/c
• Sin(A)Sin(B)Sin(C) = 1
• Soh-Cah-Toa

What is the measure of angle A?

• 58 degrees
• 61 degrees
• 78 degrees
• 74 degrees

Find m<B

• A
• B
• C
• D

Find m<A

• A
• B
• C
• D

What information results in an ambiguous case?

• SAS

• SSA

• AAS

How many triangles can you make if A=53^o, b=6, and a=5?

• 0

• 1

• 2

• Infinitely many

Based on the given information determine the number of unique triangles that may exist.

A= 70°, a=85, c=88

• 1 Triangle

• 2 Triangles

• No Triangle

• Cannot be determined with given information