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# Geometry Ch 8

### Stepp's Prentice Hall Geometry Chapter 8 Right Triangles and Trigonometry

Question | Answer |
---|---|

In the Pythagorean Thm C stands for the ___ | length of the Hypotenuse |

A and B are the ___ | Legs |

3,4,and 5 make a Pythagorean ____ | triple |

Name two Pythagorean triples | (3,4,5) (5,12,13) (8,15,17) (7,24,25) (20,21,29) etc |

What is the formula for the Pyth Thm? | a squared + b squared = c squared |

The sum of the squares of the legs of a right triangle is equal to ___ | the hypotenuse squared |

When you have a pythagorean triple, each number is a ___ | whole number |

If a squared + b squared does not equal c squared, then ____ | it is not a right triangle |

If a squared + b squared = c squared, then ___ | it is a right triangle |

If a squared + b squared < c squared, then ____ | the triangle is obtuse |

If a squared + b squared > c squared, then ____ | the triangle is acute |

Name the two special right triangles. | 45-45-90 and 30-60-90 |

Isosceles right is another name for a ___ | 45-45-90 |

How long is the the hypotenuse in a 45-45-90 right triangle if a leg is x | x times radical 2 |

How long is the other leg if one leg is x in a 45-45-90 triangle | x |

It is helpful to think of a 45-45-90 triangle as being half of a __ | square |

It is helpful to think of a 30-60-90 triangle as being half of a ___ | regular (60-60-60) triangle |

In what kind of triangle, is the hypotenuse twice as long as the short leg? | 30-60-90 |

How long is the long leg if the triangle is a 30-60-90? | radical 3 times the short leg |

how do you go backwards when they give you the hypotenuse of a 45-45-90 triangle? | divide by radical 2 |

How do you go backwards if given the long leg in a 30-60-90 triangle? | divide by radical 3 to get the short leg |

The shortest side in a 30-60-90 triangle is across from the ___ degree angle | 30 |

The ratio of the length of the side opposite one of the acute angles in a right triangle to the lenght of the adjacent side is known as the ___ | tangent |

All right triangles with a 24 degree angle are ___ | similar (proportional) |

The first step in using trigonometry is to ___ | label the sides |

If you switch angles, the _____ change | labels of the sides |

Which side label never changes? | hypotenuse |

Which angle cannot be a reference angle? | the right angle |

After you have labeled the sides, next you write the ___ | trig ratio formula |

After you write the formula and substitute your values, you must turn something into a ___ | decimal |

Which side is not used in the tangent ratio? | hypotenuse |

Which ratio uses the hypotenuse | both sine and cosine |

since the hypotenuse is the largest side, sines and cosines can never be ___ | bigger than 1 |

If you already have the trig ratio, you can get the ___ | angle |

If you have the angle and one side, you can get | the other side |

How do you remember the trig ratios and their formulas? | SOH cah TOA |

Which ratio should be used if you have an opposite side and the hypotenuse? | sin |

Which ratio should be used if you have the hypotenuse and the adjacent side? | cos |

Which ratio can you use if you have all three side lengths and you need to find an acute angle in a right triangle? | any - sine, cosine, or tangent |

The angle of elevation and the angle of depression are alternate interior angles so they are ___ | congruent |

to simplify radicals ____ | remove any perfect square factors |

169 = ___ | 13 squared |

14 squared = ___ | 196 |

15 times 15 = ____ | 225 |

The square root of 289 is ____ | 17 |

25 times 25 is ___ | 625 |

How could you find the short leg if a right triangle has a hypotenuse that is x and has a 30 degree angle? | Divide x by 2 |

In a right triangle, how big is the third angle if one angle is 17? | 73 |

What kind of triangle is it if one angle is 45 and one is 90? | Isosceles |

Created by:
criswell216