Deriving the Law of Cosines

A triangle with two sides that measure 6 m and 8 m with an included angle of 137°.

• 17.8m²

• 14.6m²

• 16.4m²

• 12.9m²

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CCSS.HSG.SRT.D.9

Use Law of Cosines to find angle T

• 62.2 degrees

• 53.1 degrees

• 59.5 degrees

• 64.7 degrees

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CCSS.HSG.SRT.D.11

Use Law of Cosines to find XZ.

• 16.004 meters

• 544.165 meters

• 34.7 meters

• 1204.165 meters

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CCSS.HSG.SRT.D.11

What is the length of side x?

• 130 cm

• 112 cm

• 150 cm

• 105 cm

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CCSS.HSG.SRT.D.11

Solve for Beta

• 45.2

• 26.3

• 36.3

• 56.2

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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

Which Law would you use to solve for Angle B?

• Law of the Jungle

• Law of Cosines

• Law of the Gravity

• Law of Sines

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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 the Law of Cosines to find the value of x.  (Level 1)

• 41.7

• 51.7

• 61.7

• 71.7

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CCSS.HSG.SRT.D.11

Find the length of Side BC.

• 33

• 24

• 12

• 29

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CCSS.HSG.SRT.D.11