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Geometry Ch 8

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

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