Law of Sines, Cosines, and Area of Triangles

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

Identify the Law of Sines

• Sin²x + Cos²x =1

• Sin(A)/a = Sin(B)/b = Sin(C)/c

• Sin(A)Sin(B)Sin(C) = 1

• Soh-Cah-Toa

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 Area of ABC

• 223.6 units²

• 73.1 units²

• 52.7 units²

• 3.3 units²

Tags

CCSS.HSG.SRT.D.9

Use the Law of Sines to solve for BC

• 33

• 24

• 12

• 29

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

solve the triangle:
A=65 C=65 a=12

• B=50, b=9.9, c=12

• B=50, b=10.1, c=12

• B=70, b=12.8, c=12

• B=40 b=11.2, c=12

Tags

CCSS.HSG.SRT.C.8

Use law of Sines to find angle C.

Round your answer to the nearest tenth

Mathematical Equivalence

OFF

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Based on the given information determine the number of unique triangles that may exist.
A= 37°, a=8, b=14

• 1 Triangle

• 2 Triangles

• No Triangles

• 3 Triangles

Tags

CCSS.7.G.A.2

Two stakes are holding a small blimp in place. Stake A measures an angle of elevation of 49^o and Stake B measures an angle of elevation of 58^o. If the string attached to Stake A has a length of 148 feet, what is the length of the string attached to Stake B?

• 152.7 feet

• 166.3 feet

• 157.3 feet

• 131.7 feet

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Use law of Sines to find side c.

Round your answer to the nearest hundredth

Mathematical Equivalence

OFF

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11