Law of Sines vs Law of Cosines

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 Law of Sines?

• SSA, ASA, AAS

• AAS, SSS, ASA

• SAS, SSS, ASA

• SAS, AAS, ASA

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

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 angle A

• 53.6

• 13.3

• 113.1

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

A triangle with two sides that measure 6 m and 8 m with an included angle of 137°. (Creates SAS)

• 17.8m

• 14.6m

• 13.0m

• 12.9m

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Parker must find the distance from Point A to Point B on opposite sides of a lake.  He locates Point C that is 860 feet from point A and 175 feet from Point B.  He measures the angle at Point C to be 78 degrees.  Find the distance from point A to point B.

• 707643.58

• 841.22

• 877.62

• 842.01

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Use Law of Cosines to 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

Identify the Law of Sines

• Sin²x + Cos²x =1

• Sin(A)/a = Sin(B)/b = Sin(C)/c

• Sin(A)Sin(B)Sin(C) = 1

• y=Sin(x)

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