Laws of Cosine

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 angle A

• 53.6
• 13.3
• 113.1

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

Clint is building a wooden swing set for his children.  Each supporting end of the swing set is to be an A-frame constructed with two 10 foot long 4-by-4s joined at a 45 degree angle.  To prevent the swing set form tipping over, Clint wants to secure the base of each A-frame to concrete footings.  How far apart should the footings for each A-frame be?

• 5.461 feet
• 9.743 feet
• 6 feet
• 7.65 feet

Tags

CCSS.8.G.B.8

Which of the following formulas shows the Law of Cosines?

• $c^2=a^2+b^2-4ac+\cos\left(A\right)$

• $c^2=a^2-b^2-2ab\cos\left(C\right)$

• $c^2=a^2+b^2-2ab\cos\left(C\right)$

• $\frac{\cos\left(A\right)}{a}=\frac{\cos\left(B\right)}{b}=\frac{\cos\left(C\right)}{c}$

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

Which law would you use?

• Law of Sines

• Law of Cosines

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

 $m\angle H=$  

•  $44.1\degree$  

•  $44.6\degree$  

•  $45.2$  

•  $45.6\degree$  

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Solve the triangle

• b=2.95 , A=28.7 , C=106.3
• b= 2.95, A= 30.6, C=108.43
• b=0.67 , A=28.7 , C=105.78
• b=4.95 , A= 21, C=106

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Solve Triangle ABC if a = 38, b = 31, c = 35

Find m < A, m < B and m < C.

• A= 43°, B= 47°, C= 90°

• A= 70°, B= 50.1°, C= 59.9°

• A= 50.1°, B= 70°, C= 59.9°

• A= 60°, B= 70°, C= 50°