Practice with
Law of Sines and Ambiguous Case

Topic Index | Algebra2/Trig Index | Regents Exam Prep Center


In problems 1-5, find the missing angles to determine if the data supports 1 unique triangle, 2 triangles that are not congruent, or no triangle. 
Diagrams are not drawn to scale. 
 

1.

Answer 

 

 

2.

 

Answer 

 

 

3.

 

 Answer 

 

 

4.

 

Answer 

 

 

5.

 

Answer 

 

Now, read carefully for your task:

6.

 


What is the range of lengths for BC so that it results in two triangles?
(use nearest tenths)

 

Answer 



 

7. This triangle:
(1) must be a right triangle.
(2) must be an acute triangle.
(3) must be an obtuse triangle.
(4) can be either acute or obtuse.

 

Answer