Stepp's Prentice Hall Geometry Chapter 8 Right Triangles and Trigonometry
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| In the Pythagorean Thm C stands for the ___ | length of the Hypotenuse
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| A and B are the ___ | Legs
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| 3,4,and 5 make a Pythagorean ____ | triple
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| Name two Pythagorean triples | (3,4,5) (5,12,13) (8,15,17) (7,24,25) (20,21,29) etc
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| What is the formula for the Pyth Thm? | a squared + b squared = c squared
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| The sum of the squares of the legs of a right triangle is equal to ___ | the hypotenuse squared
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| When you have a pythagorean triple, each number is a ___ | whole number
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| If a squared + b squared does not equal c squared, then ____ | it is not a right triangle
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| If a squared + b squared = c squared, then ___ | it is a right triangle
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| If a squared + b squared < c squared, then ____ | the triangle is obtuse
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| If a squared + b squared > c squared, then ____ | the triangle is acute
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| Name the two special right triangles. | 45-45-90 and 30-60-90
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| Isosceles right is another name for a ___ | 45-45-90
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| How long is the the hypotenuse in a 45-45-90 right triangle if a leg is x | x times radical 2
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| How long is the other leg if one leg is x in a 45-45-90 triangle | x
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| It is helpful to think of a 45-45-90 triangle as being half of a __ | square
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| It is helpful to think of a 30-60-90 triangle as being half of a ___ | regular (60-60-60) triangle
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| In what kind of triangle, is the hypotenuse twice as long as the short leg? | 30-60-90
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| How long is the long leg if the triangle is a 30-60-90? | radical 3 times the short leg
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| how do you go backwards when they give you the hypotenuse of a 45-45-90 triangle? | divide by radical 2
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| 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
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| The shortest side in a 30-60-90 triangle is across from the ___ degree angle | 30
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| 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
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| All right triangles with a 24 degree angle are ___ | similar (proportional)
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| The first step in using trigonometry is to ___ | label the sides
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| If you switch angles, the _____ change | labels of the sides
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| Which side label never changes? | hypotenuse
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| Which angle cannot be a reference angle? | the right angle
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| After you have labeled the sides, next you write the ___ | trig ratio formula
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| After you write the formula and substitute your values, you must turn something into a ___ | decimal
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| Which side is not used in the tangent ratio? | hypotenuse
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| Which ratio uses the hypotenuse | both sine and cosine
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| since the hypotenuse is the largest side, sines and cosines can never be ___ | bigger than 1
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| If you already have the trig ratio, you can get the ___ | angle
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| If you have the angle and one side, you can get | the other side
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| How do you remember the trig ratios and their formulas? | SOH cah TOA
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| Which ratio should be used if you have an opposite side and the hypotenuse? | sin
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| Which ratio should be used if you have the hypotenuse and the adjacent side? | cos
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| 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
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| The angle of elevation and the angle of depression are alternate interior angles so they are ___ | congruent
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| to simplify radicals ____ | remove any perfect square factors
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| 169 = ___ | 13 squared
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| 14 squared = ___ | 196
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| 15 times 15 = ____ | 225
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| The square root of 289 is ____ | 17
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| 25 times 25 is ___ | 625
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| 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
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| In a right triangle, how big is the third angle if one angle is 17? | 73
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| What kind of triangle is it if one angle is 45 and one is 90? | Isosceles
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