# Right Triangles and Trigonometry

### Quizzes

1. |
Which of the following is guaranteed to give us a 45-45-90 triangle? -> Drawing the diagonal of a rectangle |

2. |
Which of the following is guaranteed to give us a 30-60-90 triangle? -> Drawing the altitude of an equilateral triangle |

3. |
A 45-45-90 triangle has a leg with length 10. What is the exact length of the hypotenuse? -> |

4. |
A 30-60-90 triangle has a hypotenuse of length 10. What is the length of its shortest leg? -> 8 |

5. |
A 30-60-90 triangle has a hypotenuse of length 24. What are the lengths of the two legs? -> 10 and 12 |

6. |
What is the value of sin A × cos B? -> |

7. |
In the equation cos^{-1} x = y, the variable y most likely represents which of the following? -> An angle measurement |

8. |
In a right triangle, the sine of one of the angles has a value of
. What is the angle's measurement in degrees? -> 60° |

9. |
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? -> |

10. |
If A and B are the two acute angles in a right triangle, which of the following is true? -> sin A = cos B |