Reading...
Play button
Play button
Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
12 Cards in this Set
- Front
- Back
|
Theorem 49
|
The altitude to the hypotenuse of a right triangle forms two triangles similar to it and to each other.
|
|
|
Corollary to Theorem 49
|
The altitude to the hypotenuse of a right triangle is the geometric mean between the hypotenuse and its projections on the hypotenuse.
|
|
|
Corollary 2 to Theorem 49
|
Each leg of a right triangle is the geometric mean between the hypotenuse and its projection on the hypotenuse.
|
|
|
The Pythagorean Theorem
|
In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
|
|
|
The Isosceles Right Triangle Theorem
|
In an isosceles right triangle, the hypotenuse is (Square Root)2 times the length of a leg.
|
|
|
Corollary to The Isosceles Right Triangle Theorem
|
Each diagonal of a square is (Square Root)2 times the length of one side.
|
|
|
The 30 degree-60 degree Right Triangle Theorem
|
In a 30 degree-60 degree right triangle, the hypotenuse is twice the shorter leg and the longer leg is (Square Root)3 times the shorter leg.
|
|
|
Corollary to The 30 degree-60 degree Right Triangle Theorem
|
An altitude of an equilateral triangle having side "s" is (Square Root)3/2 "s" and its area is (Square Root)3/4 "s squared."
|
|
|
Theorem 52
|
Two nonvertical lines are parallel iff their slopes are equal.
|
|
|
Theorem 53
|
Two nonvertical lines are perpendicular iff the product of their slopes is -1.
|
|
|
Law of Sines and Cosines
|
See page 475
|
|
|
Angle of inclination, Cosine, Pythagorean Triple, Sine, Slope, and Tangent
|
Reference these on Page 475
|
