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# Right Triangles and Trigonometry

# Right Triangles and Trigonometry: Feelin' All Right Triangles 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. Which of the following is guaranteed to give us a 45-45-90 triangle?

Drawing the diagonal of a rectangle

Drawing the diagonal of a square

Drawing the altitude of an equilateral triangle

Drawing the diagonal of a parallelogram

Drawing the altitude of an isosceles triangle

Q. Which of the following is guaranteed to give us a 30-60-90 triangle?

Drawing the diagonal of a rectangle

Drawing the diagonal of a square

Drawing the altitude of an equilateral triangle

Drawing the diagonal of a parallelogram

Drawing the altitude of an isosceles triangle

Q. A 45-45-90 triangle has a leg with length 10. What is the exact length of the hypotenuse?

10

15

20

Q. A 30-60-90 triangle has a hypotenuse of length 10. What is the length of its shortest leg?

4

5

6

7

8

Q. A 30-60-90 triangle has a hypotenuse of length 24. What are the lengths of the two legs?

10 and 12

12 and

12 and

and

and

Q. What is the value of sin

*A*× cos*B*?

Q. In the equation cos

^{-1}*x*=*y*, the variable*y*most likely represents which of the following?A side length

An angle measurement

An area

A ratio

None of the above

Q. In a right triangle, the sine of one of the angles has a value of
. What is the angle's measurement in degrees?

30°

45°

60°

90°

None of the above

Q. The tangent of an angle in a triangle is 1. If one of the legs has a length of

*x*, what is the length of the hypotenuse?2

*x*3

*x*None of the above

Q. If

*A*and*B*are the two acute angles in a right triangle, which of the following is true?sin

*A*= cos*A*sin

*A*= sin*B*cos

*A*+ sin*B*= 1sin

*A*= cos*B*None of the above