Law of Cosines Product-Sum Identities

Find angle Z

• 20.15°

• 71.23°

• 51.06°

• 57.71°

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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 QR

• 34.7 km

• 2.2 km

• 13.74

• 31.1 km

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the missing side.

• 15.9 in.

• 22.8 in.

• 19.2 in.

• 521.1 in.

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the distance across the river? The two sides are 4.15 miles and 5.33 miles. The included angle measure is 37 degrees.

• 2.9 miles

• 3.2 miles

• 3.6 miles

• 3.9 miles

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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

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

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

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

Which of the following formulas shows the Law of Cosines?

• c² = a² + b² - 4ac + cosA

• c² = a² - b² - 2abcosC

• c² = a² + b² - 2abcosC

• (cos A)/a = (cos B)/b

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11