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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
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