Law of Cosines and Area of a Triangle

Which Law would you use to solve for Angle B?

• Law of the Jungle

• Law of Cosines

• Law of the Gravity

• Law of Sines

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

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

• 41.7
• 51.7
• 61.7
• 71.7

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the length of side x?

• 130 cm
• 112 cm
• 150 cm
• 105 cm

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find BC

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

If the sides of a triangle are 12,5, and 2. What is the area?

• 12

• 40.65

• 19

• This triangle does not exist

What is the area of this triangle to three decimal places?

• 14.494 meters squared

• 108.184 meters squared

• 54.092 meters squared

• 54.350 meters squared

Tags

CCSS.HSG.SRT.D.9

Find the area of  $\Delta ABC$  
if a = 9cm, b = 11cm, c = 16cm

• 52.1 sq cm

• 89.5 sq cm

• 47.6 sq cm

• 15.2 sq cm

Tags

CCSS.HSG.SRT.D.9

If the sides of a triangle are 8, 8, and 8, what is the area?

• 8

• 15.58

• 27.71

• 62.91

Tags

CCSS.6.G.A.1

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