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PREC - Law of Sines and Law of Cosines

Total questions: 12

Worksheet time: 32mins

Name
Class
Date
1.
Use the Law of Sines to solve for BC
a)
33
b)
24
c)
12
d)
29
2.
What is the measure of angle A?
a)
58 degrees
b)
61 degrees
c)
78 degrees
d)
74 degrees
3.

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

a)

SSS

b)

AAS

c)

ASA

d)

SSA

4.

Determine the number of possible triangles that can be drawn with the following dimensions: m<B = 33, a=27, and b = 22.

a)

0

b)

1

c)

2

d)

3

5.

Which of the following scenarios would you be unable to use Law of Sines?

a)

AAS

b)

ASA

c)

SSA

d)

SSS

6.
Find m<C
a)
A
b)
B
c)
C
d)
D
7.

Find angle Z

a)

20.15°

b)

71.23°

c)

51.06°

d)

57.71°

8.
Which of the following formulas shows the Law of Cosines?
a)
c2 = a2 + b2 - 4ac + cosA
b)
c2 = a2 - b2 - 2abcosC
c)
c2 = a2 + b2 - 2abcosC
d)
(cos A)/a = (cos B)/b
9.
If three sides of a triangle are given, the Law of ____ is used to solve the triangle.
a)
Cosines
b)
Sines
c)
Tangent
d)
Cosecents
10.

Solve for "B" if:


a = 4, b = 5, and c = 8.

a)

47.5o

b)

125.1o

c)

30.8o

d)

24.1o

11.

For which triangle would you use Law of Sines?

a)
b)
c)
d)
12.
Given the triangle: A=50°, b=5, c=2. Find missing length side a
a)
3.12
b)
4.02
c)
14.12
d)
28.24