Quiz about 6.2 and 6.3 Practice

Question 1

Identify the Law of Sines

Accepted Answer

$$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$$

Answer

$$\sin^2x\ +\ \cos^2x\ =\ 1$$

Answer

$$a^2=b^2+c^2-2bc\sin A$$

Answer

$$\sin\left(A\right)=\frac{opposite}{hypotenuse\ }$$

Question 2

Which of the following types of triangles is the ambiguous case relating to Law of Sines?

Accepted Answer

SSA

Answer

AAS

Answer

SAS

Answer

ASA

Question 3

Which of the following formulas shows the Law of Cosines?

Accepted Answer

c² = a² + b² - 2abcosC

Answer

$$c^2=a^2+b^2-\frac{1}{2}ab\cos C$$

Answer

c² = a² - b² - 2abcosC

Answer

$$\frac{a}{\cos A}=\frac{b}{\cos B\ }=\frac{c}{\cos C\ }$$

Question 4

What are the possible criteria for the Law of Cosines?

Accepted Answer

SSS, SAS

Answer

SSA, SSS

Answer

SSA, ASA

Answer

AAS, ASA

Question 5

Which Law would you use?

Accepted Answer

Law of Cosines

Answer

Law of Sines

Answer

Law of the Jungle

Answer

Law of Gravity

Question 6

Which Law would you use?

Accepted Answer

Law of Sines

Answer

Law of Cosines

Answer

Law of the Jungle

Answer

Law of Gravity

Question 7

Find the length of Side BC.

Accepted Answer

33

Answer

24

Answer

12

Answer

29

Question 8

Which angle should you find first?

Accepted Answer

C

Answer

A

Answer

B

Question 9

Find the measure of angle A

Accepted Answer

13.3

Answer

53.6

Answer

113.1

Question 10

What is the length of side x?

Accepted Answer

7.44 cm

Answer

6.57 cm

Answer

7 cm

Answer

26.33 cm

Question 11

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

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