Quiz about Law of Cosines and Sines

Question 1

Question 1.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 2

Which of the following formulas shows the Law of Cosines?

Accepted Answer

c² = a² + b² - 2abcosC

Answer

c² = a² + b² - 4ac + cosA

Answer

c² = a² - b² - 2abcosC

Answer

(cos A)/a = (cos B)/b

Question 3

Which Law would you use?

Accepted Answer

Law of Cosines

Answer

Law of Sines

Answer

Law of the Jungle

Answer

Law of Gravity

Question 4

Which Law would you use?

Accepted Answer

Law of Sines

Answer

Law of Cosines

Answer

Law of the Jungle

Answer

Law of Gravity

Question 5

Which Law would you use?

Accepted Answer

Law of Sines

Answer

Law of Cosines

Answer

Law of the Jungle

Answer

Law of Gravity

Question 6

Which Law would you use?

Accepted Answer

Law of Cosines

Answer

Law of Sines

Answer

Law of the Jungle

Answer

Law of Gravity

Question 7

Which Law would you use to solve for side AC?

Accepted Answer

Law of Cosines

Answer

Law of Sines

Answer

Newton's Laws

Answer

SOHCAHTOA

Question 8

Which Law would you use?

Accepted Answer

Law of Cosines

Answer

Law of Sines

Answer

Law of the Jungle

Answer

Law of Gravity

Question 9

Which Law would you use?

Accepted Answer

Law of Cosines

Answer

Law of Sines

Answer

Law of the Jungle

Answer

Law of Gravity

Question 10

Which equation could NOT be used to find x? (Choose the equation that is set up incorrectly.)

Accepted Answer

$$x^2=97^2+121^2-2\left(97\right)\left(121\right)\cos\left(73.6\degree\right)$$

Answer

$$x^2=97^2+121^2-2\left(97\right)\left(121\right)\cos\left(22.5\degree\right)$$

Answer

$$121^2=x^2+97^2-2\left(x\right)\left(97\right)\cos\left(73.6\degree\right)$$

Question 11

Identify the Law of Sines

Accepted Answer

Sin(A)/a = Sin(B)/b = Sin(C)/c

Answer

Sin²x + Cos²x =1

Answer

Sin(A)Sin(B)Sin(C) = 1

Answer

y=Sin(x)

Question 12

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

Accepted Answer

54.092 meters squared

Answer

14.494 meters squared

Answer

108.184 meters squared

Answer

54.350 meters squared

Question 13

What are the possible criteria for the Law of Cosines?

Accepted Answer

SSS, SAS

Answer

SSA, SSS

Answer

SSA, ASA

Answer

AAS, ASA

Question 14

Find m

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 15

Find the length of side AB. m

Accepted Answer

8.0

Answer

8.8

Answer

9.2

Answer

10.3

Question 16

Which Law would you use to solve for Angle B?

Accepted Answer

Law of Cosines

Answer

SOHCAHTOA

Answer

Laws of the Masked Singer

Answer

Law of Sines

Question 17

What is the measure of angle A? BC = 37 cm, AB = 29 cm and m

Accepted Answer

77.8 degrees

Answer

70.7 degrees

Answer

74.5 degrees

Answer

80.2 degrees

Question 18

What is the distance across the river? The two sides are 4.15 miles and 5.33 miles. The included angle measure is 37 degrees.

Accepted Answer

3.2 miles

Answer

2.9 miles

Answer

3.6 miles

Answer

3.9 miles

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