Applications of Law of Cosines

Solve the Triangle

a=38, b= 31, c= 35

Find <A, <B and <C

• A= 43°, B= 47°, C= 90°

• A= 70°, B= 50.1°, C= 59.9°

• A= 50.1°, B= 70°, C= 59.9°

• A= 60°, B= 70°, C= 50°

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Use Law of Cosines to find angle T

• 62.2°

• 53.1°

• 59.5°

• 64.7°

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

If three sides of a triangle are given, the Law of ____ is used to solve the triangle.

• Cosines

• Sines

• Tangent

• Cosecents

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find XZ

• 16.004 meters

• 544.165 meters

• 34.7 meters

• 1204.165 meters

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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.

• 250

• 615

• :)

• Not me

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find m<C

• A

• B

• C

• D

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

8.Solve for x

• 3.85

• 4.25

• 3.35

• 5.65

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find BC

• A

• B

• C

• D

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which Law would you use?

• Law of Sines

• Law of Cosines

• Law of the Jungle

• Law of Gravity

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Use Law of Cosines to find angle T

• 62.2 degrees

• 53.1 degrees

• 59.5 degrees

• 64.7 degrees

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11