# Right Triangles and Trigonometry: Feelin' All Right Triangles Quiz

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?

2x
3x
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