# Right Triangles and Trigonometry

# Right Triangles and Trigonometry: Law and Order: Special Trigonometry Unit Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Right Triangles and Trigonometry**Q. What does "solving a triangle" mean?

Finding the perimeter of the triangle

Finding all the side lengths of the triangle

Finding all the angle measures of the triangle

Finding all the side lengths and angle measures of the triangle

Finding all the trig ratios of the triangle

Q. In which situation will the Law of Sines NOT help us solve the triangles described below?

We know two angles and their connecting side.

We know two angles and any other side.

We know two sides and an angle opposite one of the known sides.

We know all three sides of the triangle.

None of the above

Q. In which situation will the Law of Cosines NOT help us solve the triangles described below?

We know two sides and their included angle.

We know two angles and two sides.

We know all three sides of the triangle.

We know all three angles of the triangle.

None of the above.

Q. Why are the Laws of Sines and Cosines particularly useful?

They can help us solve any right triangle

They can help us solve any obtuse triangle

They can help us solve any acute triangle

They can help us solve any triangle

None of the above

Q. Which of the following is the Law of Sines?

*a*

^{2}+

*b*

^{2}=

*c*

^{2}

*a*

^{2}=

*b*

^{2}+

*c*

^{2}– 2

*bc*cos

*A*

sin

*A*=*⁄*^{a}_{c}sin

^{2}*θ*+ cos^{2}*θ*= 1Q. Which of the following is the Law of Cosines?

*a*

^{2}+

*b*

^{2}=

*c*

^{2}

*a*

^{2}=

*b*

^{2}+

*c*

^{2}– 2

*bc*cos

*A*

cos

*A*=^{b}⁄_{c}sin

^{2}*θ*+ cos^{2}*θ*= 1Q. What's the value of

*x*?

27.3

28.9

29.1

29.5

29.8

Q. Which of the following is a correct expression of the ∠

*A*?

Q. What is the value of

*y*?

113.2

124.7

154.4

179.1

202.5

Q. What is the approximate value of

*z*?

2.8

3.0

3.3

3.5

4.0