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Law of Sines & Law of Cosines

Authored by Patrick Dennis

Mathematics

9th - 12th Grade

Used 6+ times

Law of Sines & Law of Cosines
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11 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the Law of Cosines?

SinA/a=sinB/b=sinC/c

a2=b+c2a2b2CosAa^2=b+c-2a^2b^2CosA

b2=a2+c22acCosBb^2=a^2+c^2-2acCosB

c2=a2+b22abCosAc^2=a^2+b^2-2abCosA

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Sam is building a swing set for his daughter . The two legs of the swing set will be 10 feet long. They will be joined at a 45 degree angle. How far apart will the legs be (to nearest 100th) ?

6.54

7.65

4.32

7.75

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which would you use to solve the following triangle? Angle A=30, Angle C=100 , b= 2

Heron's Formula

Law of Cosines

Law of Exponents

Law of Sines

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve for angle A to nearest degree

a=1, b= 2, c=2

29 degrees

33 degrees

44 degrees

28 degrees

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve for angle C to nearest degree.


Angle A = 77, a=20, c=15

46 degrees

50 degrees

47 degrees

41 degrees

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Under which circumstances will you use the Law of Cosines?

SSS, AAS

AAS, SAS

SSS, SAS

ASA, SAS

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve for side a to nearest 100th.

Angle A= 88 degrees, b= 8, c= 2

8.34

8.18

9.12

7.47

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