Search
Create
Log in
Sign up
Log in
Sign up
Geometry Chapter 8
STUDY
Flashcards
Learn
Write
Spell
Test
PLAY
Match
Gravity
Terms in this set (13)
Pythagorean Theorem
If a triangle is a right triangle, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
Converse of the Pythagorean Theorem
If the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the third side, then the triangle is a right triangle.
45-45-90 Triangle Theorem
In a 45-45-90 triangle, the legs are congruent and the length of the hypotenuse is is sqrt(2) times the length of the leg.
30-60-90 Triangle Theorem
In a 30-60-90 triangle, the length of the hypotenuse is twice the length of the short leg. The length of the long leg is sqrt(3) times the length of the short leg.
Sine ratio
Opposite leg/hypotenuse (o/h)
Cosine ratio
Adjacent leg/hypotenuse (a/h)
Tangent ratio
Sine/Cosine, Opposite leg/Adjacent leg (o/a)
Multiplicative Inverses
Two numbers are multiplicative inverses of each other if they multiply to equal 1. (for all real number operations)
Law of Sines
For ANY triangle, 3 proportional relationships exist between the sine value of an angle and its opposite side.
Law of Cosines
For ANY triangle, this relationship exists (see picture).
Angle of elevation
The angle formed by "Looking upward" from a line parallel to the ground.
Angle of depression
The angle formed by a line parallel to the ground and someone "looking downward."
Area of a triangle (using sin)
1/2
(two adjacent sides)
SIN(included angle)
YOU MIGHT ALSO LIKE...
Unit Three Vocabulary
15 Terms
Alexus_Jones12
Unit 7 flashcards
14 Terms
graceeyoonn
Glencoe Geometry Chapter 8
21 Terms
christensharper00
ChP 8 vocab
26 Terms
Emerson_Garcia
OTHER SETS BY THIS CREATOR
Geometry Chapter 11
18 Terms
math_idkeller
Geometry Chapter 10
27 Terms
math_idkeller
Geometry Chapter 9
8 Terms
math_idkeller
Geometry Chapter 7
12 Terms
math_idkeller
THIS SET IS OFTEN IN FOLDERS WITH...
Chapter 7 Geometry
21 Terms
DCFuchs
Chapter 9 Geometry Key
13 Terms
susanpmiller
Geometry Chapter 5
24 Terms
math_idkeller
Geometry Chapter 6
25 Terms
math_idkeller