The Law of Sines & Cosines

Find the length of side AB. m<C = 53 degrees. m<B = 44 degrees. AC = 7.

• 8.0

• 8.8

• 9.2

• 10.3

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which Law would you use to find side length BC?

• Law of Sines

• Law of Cosines

• Law of the Jungle

• SOHCAHTOA

Tags

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

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the length of side x? x is opposite a 28 degree angle. 14 cm is the side length given.

• 6.57 cm

• 7.05 cm

• 7.44 cm

• 8.33 cm

Tags

CCSS.HSG.SRT.C.8

Which Law would you use?

• Law of Sines
• Law of Cosines
• Law of the Jungle
• Law of Gravity

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What are the possible criteria for the Law of Cosines?

• SSA, SSS

• SSA, ASA

• SSS, SAS

• AAS, ASA

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find m<B to the nearest whole number.

• A

• B

• C

• D

Tags

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

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find angle Z

• 18.77°

• 71.23°

• 51.06°

• 57.71°

Tags

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

• Tangents

• Cosecants

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11