Think you’ve got your head wrapped around **Right Triangles and Trigonometry**? Put your knowledge to
the test. Good luck — the Stickman is counting on you!

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* = 1

sin *A* = cos *B*

None of the above