geometry a - unit 9

hell yeah bro

SECTION 1

all of these cards are from 9.1.

Pythagorean Theorem

a^2 +b^2 =c^2
c is the hypotenuse

Pythagorean Triples

3

Pythagorean Inequalities Theorem

if a^2 + b^2 > c^2

SECTION 2

all of these cards are from 9.2.

45-45-90 Triangle Theorem

in a 45-45-90 triangle

30-60-90 Triangle Theorem

in a 30-60-90 triangle

SECTION 3

all of these cards are from 9.3.

Right Triangle Similarity Theorem

if the altitude is drawn to the hypotenuse of a right triangle

Geometric Mean

a/x = x/b

Geometric Mean [Altitude] Theorem 1

In a right triangle

Geometric Mean [Altitude] Theorem 2

In a right triangle

SECTION 4

all of these cards are from 9.4.

Trigonometric ratio

a ratio of the lengths of two sides in a right triangle.

Tangent [tan]

the trigonometric ratio for acute angles that involves the lengths of the sides of a right triangle.

tanA = opposite/adjacent

Angle of Elevation

the angle formed by a horizontal line and the line of sight to an object above the horizontal line.

SECTION 5

all of these cards are from 9.5.

Sine [sin]

the trigonometric ratio for acute angles that involves the lengths of the sides of a right triangle.

sinA = opposite/hypotenuse.

Cosine [cos]

the trigonometric ratio for acute angles that involves the lengths of the sides of a right triangle.

cosA = adjacent/hypotenuse.

Angle of Depression

The angle formed by a horizontal line and the line of sight to an object below the horizontal line.

SECTION 6

all of these cards are from 9.6.

Inverse Trig Functions

measure of angle A = tan^-1(opp/adj)
measure of angle A = sin^-1(opp/hyp)
measure of angle A = cos^-1(adj/hyp)
use when finding a missing angle.

Solving a Right Triangle

To solve a right triangle

SECTION 7

all of these cards are from 9.7

Area of a Triangle

for triangle ABC

Law of Sines

a/sinA = b/sinB = c/sinC
for use when you have SSA

Law of Cosines

a²=b²+c²-2bcCosA
b²=a²+c²-2acCosB
c²=a²+b²-2abCosC
for use when you have SAS or SSS.

yippee you did it!!!!

here's a rock lee for your troubles :)