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Law of Sines and Ambiguous Case

Total questions: 12

Worksheet time: 16mins

Name
Class
Date
1.
How many triangles can you make if A=53, b=6, and a=4?
a)
0
b)
1
c)
2
d)
Infinitely many
2.
How many triangles can you make if A=53, b=6, and a=5?
a)
0
b)
1
c)
2
d)
Infinitely many
3.
How many triangles can you make if A=53, b=6, and a=7?
a)
0
b)
1
c)
2
d)
Infinitely many
4.
Identify the Law of Sines
a)
Sin2x + Cos2x =1
b)
Sin(A)/a = Sin(B)/b = Sin(C)/c
c)
Sin(A)Sin(B)Sin(C) = 1
d)
Soh-Cah-Toa
5.
What is the measure of angle A?
a)
58 degrees
b)
61 degrees
c)
78 degrees
d)
74 degrees
6.
Find m<B
a)
A
b)
B
c)
C
d)
D
7.
Find m<A
a)
A
b)
B
c)
C
d)
D
8.

What information results in an ambiguous case?

a)

SAS

b)

SSA

c)

AAS

9.

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

a)

0

b)

1

c)

2

d)

Infinitely many

10.

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

A= 70°, a=85, c=88

a)

1 Triangle

b)

2 Triangles

c)

No Triangle

d)

Cannot be determined with given information

11.

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

A= 37°, a=8, b=14

a)

2 Triangles

b)

No Triangle

c)

1 Triangle

12.

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

A = 45°, a = 83, b = 79

a)

1 Triangle

b)

No Triangle

c)

2 Triangles