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Law of sines and cosines

Total questions: 16

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

Find the length of Side BC.

a)

33

b)

24

c)

12

d)

29

2.

Find the length of side AB.

a)

10

b)

8

c)

6.1

d)

4.9

3.

Find the length of side AC.

a)

12

b)

10

c)

23

d)

14

4.

Which law would you use to find angle A?

a)

Law of Cosines

b)

Law of right triangles

c)

Law of Sines

d)

Pythagorean Theorem

5.

Which Law would you use to solve for Angle B?

a)

Law of the Jungle

b)

Law of Cosines

c)

Law of the Gravity

d)

Law of Sines

6.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
7.
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
8.
Use the Law of Cosines to find the value of x.  (Level 1)
a)
41.7
b)
51.7
c)
61.7
d)
71.7
9.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
10.
What is the measure of angle A?
a)
50 degrees
b)
60 degrees
c)
78 degrees
d)
74 degrees
11.
Find angle A
a)
53.6
b)
13.3
c)
113.1
12.

Use Law of Sines to find X . (Hint: sin-1 )

a)

52

b)

33

c)

41

d)

29

13.

Use Law of Sines to Find AB

a)

10

b)

8

c)

6.1

d)

4.9

14.

Use the angle formula from the Law of Cosines to find m<C.

a)

A

b)

B

c)

C

d)

D

15.

Use Law of Cosines to find QR.

a)

34.7 km

b)

2.2 km

c)

13.74

d)

31.1 km

16.
Use Law of Cosines to find angle T
a)
62.2 degrees
b)
53.1 degrees
c)
59.5 degrees
d)
64.7 degrees