Ch.9

Question 1

Adjacent

Answer 1

Having a common vertex and side (line that intersects the common vertex)

Question 2

Acute angle

Answer 2

Less than 90

Question 3

Scalene triangle

Answer 3

3 sided polygon with Sides that have no equal length

Question 4

Obtuse

Answer 4

More than 90

Question 5

Equilateral triangle

Answer 5

3 sided polygon that has all congruent sides

Question 6

Phythagorean thereom order:
Medium length unknown:
Shortest length unknown:

Answer 6

B
A

Question 7

Pythagorean triples

Answer 7

3,4,5: 3x,4x,5x
5,12,13: 5x, 12x, 13x
8,15,17: 8x, 15x, 17x
7,24,25: 7x,24x,25x

Question 8

If a^2 + b^2 > c^2 then abc is an

Answer 8

Acute triangle

Question 9

If a^2 + b^2 = c^2 then abc is a

Answer 9

Right triangle

Question 10

If a^2 + b^2 < c^2 then abc is an

Answer 10

Obtuse triangle

Question 11

Thrm. 9.4: 45-45-90 triangle thereom:
Hypotenuse=

Answer 11

*Leg x √2
* In a 4: 45-45-90 triangle, the hypotenuse is √2 times as long as each leg.

Question 12

• Thrm 9.5: 30-60-90 triangle thrm.:
• Hypotenuse= shorter leg x ___
• Longer leg= shorter leg x _____

Answer 12

• In a 30 60 90 triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is √3 x as long as the shorter leg.
• 2
• √3

Question 13

Opposite (0)

Answer 13

The side across from the reference triangle

Question 14

Adjacent (A)

Answer 14

Side next to angle

Question 15

Hypotenuse (H)

Answer 15

Longest side

Question 16

Trigonometry:

Answer 16

Relationships of the measure’s of right triangles

Question 17

Theta (0)

Answer 17

Angle measure

Question 18

Possible ratios:

Answer 18

0/A, A/H, 0/H

Question 19

Sin =

Answer 19

Sin 0 = 0/H

Question 20

Cosine =

Answer 20

Cos 0 = A/H

Question 21

Tangent =

Answer 21

Tan 0 = 0/A

Question 22

What is the word that reveals the ratios for sine cosine and tangent

Answer 22

Sohcahtoa

Question 23

Complementary angle =

Answer 23

90

Question 24

Sin and cos of complement angles are equal when:

Answer 24

Sin (x) = cos (y)
Cos (x) = sin (y)

Question 25

* Sin A = cos ( 90 - A ) = * cos A = sin (90 - A) =

Answer 25

* cos B sin B = cos (90- B) = Cosa * Sin B Cos B = Sin (90- B) = sina

Question 26

Ex: of cos and sin being similar: Cos (28) = sin (67) Cos (28) = 15/17 = A/H Sin (67) = 0/0 = 15/17

Question 27

Hypotenuse definition:

Answer 27

Side that is long and opposite to right angle

Question 28

Opposite definition:

Answer 28

The side that is opposite to the given angle (not the. Right angle)

Question 29

Adjacent definition:

Answer 29

Side next to given angle

Question 30

Rounding: * If the number next to the other number is bigger than make the number ___ ___ ___ * if number next to number is smaller than ____ ____ ____

Answer 30

* one number higher * remove smaller number

Question 31

(MISSING ANGLES )Inverse trigonometric ratios: * inverse tangent : if tan A = x, then tan ^ ___ x = ____ * inverse sine: if sinA = y, then sin ___ y= ____ * inverse cosine: if cos A = Z, then cos ___ Z = ____

Answer 31

* -1, m

Question 32

Right 🔼

Answer 32

An angle that exactly measures 90 degrees (square)

Question 33

Isoceles triangle:

Answer 33

A three sided polygon with two congruent sides

Question 34

Legs

Answer 34

Two sides that form right angle

Question 35

You can solve a right triangle when you know either of the following:

Answer 35

Two side lengths One side length and the measure of one acute angle

Question 36

Find the complement to the following angle Sin (9)

Answer 36

90 - 9 = 81 Cos (81)

Question 37

To solve a right triangle means to find all unknown

Answer 37

side lengths and angle measures

Question 38

Triangle inequality thrm.the sum of the lengths of any two sides are _____ than the length of the third side. Sides added: the two numbers that are ____ than the biggest number Third side: ____ number

Answer 38

Greater Smaller Bigger

Question 39

If the two number lengths don't add up to another number that's bigger than the third length (biggest side) then it is ____ a _____

Answer 39

Not a triangle

Question 40

When solving for cos..

Answer 40

X will mostly be put in the left

Question 41

REMEMBER TRIANGLE TYPES EX. 30-60-90 AND THEIR PROPERTIES B/C IT CAN HELP FIND SIDE LENGTHS

Question 42

___ ___ ___ is how you will label the triangle with a,b,c

Answer 42

Top left right

Question 43

__ will mostly be given angle

Answer 43

Top