Law of Sines and Law of Cosines Review

Based on the given information determine the number of unique triangles that may exist.
A = 98°, a = 29, b = 6

• Triangle

• Triangles

• No Triangles

• Triangles

Tags

CCSS.7.G.A.2

Based on the given information determine the number of unique triangles that may exist.
B= 70°, b=85, c=88

• Triangle

• Triangles

• No Triangles

• Triangles

Tags

CCSS.7.G.A.2

Solve the Triangle
B= 85°, C= 47°, and a=19
Find A, b, and c

• A= 48°, b=25.5, c= 17.8

• A= 48°, b= 19.5, c= 23.4

• A= 90°, b= 14, c= 23.6

• A= 39°, b= 19, c= 19√2

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Given: B = 70°, a = 11, C = 40° Find: c

• 11

• 7.5

• 70

• 8

Tags

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

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

find X

• 52

• 33

• 41

• 29

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find AC

• 12

• 10

• 23

• 14

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find XZ

• 16.004 meters

• 544.165 meters

• 34.7 meters

• 1204.165 meters

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

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them.  The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63.  How far away is the bird from Amanda?

• 25.23

• 23.19

• 22.15

• 20.85

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11