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Law of Cosines Lesson

Total questions: 9

Worksheet time: 1hrs 26mins

Name
Class
Date
1.
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
2.
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
3.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
4.
Find XZ
a)
16.004 meters
b)
544.165 meters
c)
34.7 meters
d)
1204.165 meters
5.

4. Name the smallest angle in this triangle.

a)

∠A

b)

∠B

c)

∠C

6.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
7.

Find angle Z

a)

20.15°

b)

71.23°

c)

51.06°

d)

57.71°

8.
Use Law of Cosines to find angle T
a)
62.2 degrees
b)
53.1 degrees
c)
59.5 degrees
d)
64.7 degrees
9.

To approximate the length of a marsh, a surveyor walks 425 meters from point A to point B. Then the surveyor turns 65º and walks 300 meters to point C. Approximate the length AC of the marsh.

a)

250

b)

615

c)

:)

d)

Not me