Law of Sines and Cosines

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

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

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 the length of Side BC.

• 33

• 24

• 12

• 29

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the measure of angle A?

• 58 degrees
• 61 degrees
• 78 degrees
• 74 degrees

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the length of side AB.

• 10

• 8

• 6.1

• 4.9

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

Find the length of side AC.

• 12

• 10

• 23

• 14

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

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