Spring Midterm Review: Unit 3B Law of Sines/Cosines

Calculate the length of AC

• 30
• 24
• 27
• 35

Calculate the length of BC

• 24
• 20
• 27
• 23

Solve for x.

• 24.3

• 155.7

• 24.3 and 155.7

• not possible.

For which scenario would you need to use the ambiguous case?

• SSS

• AAS

• ASA

• SSA

Determine the number of possible triangles that can be drawn with the following dimensions: 

 $m\angle B=73\degree,\ a=7,\ b=5$  

• 0

• 1

• 2

• 3

 $\angle B=45\degree,\ a=28,\ b=27$ 
Find all possible values for  $\angle A$  

• 47 only

• 47 and 133

• 47 and 88

• 55 and 125

 $\Delta ABC:\ \angle A=42\degree,\ a=63,\ b=57$  
Find the angle measure(s) for $\angle B$ .

• No Triangle

•  $37\degree$  
  

•  $37\degree\ and\ 143\degree$  

•  $101\degree$  
  

 $\Delta ABC:\ \angle A=65\degree,\ a=6,\ b=7$  
Find the angle measure(s) for $\angle B$ .

• No Triangle

•  $78\degree$  
  

•  $115\degree$  

•  $23\degree$  
  

What are the possible criteria for the Law of Cosines?

• SSA, SSS

• SSA, ASA

• SSS, SAS

• AAS, ASA

 $m\angle H=$  

•  $44.1\degree$  

•  $44.6\degree$  

•  $45.2$  

•  $45.6\degree$