Geometry Chapter 8

Geometric Mean Equation- place the two numbers you are trying to find the mean of in the extremes section and a variable in the mean space, then cross-multiply and solve.

Where does Mario start? Mario will always start at the right angle of the biggest triangle.

Where will the mean go in Mario? Whichever route Mario picks will be where the side lengths go.

a²+b²=c² - Right triangle

a²+b²<c² - Obtuse triangle

a²+b²>c² - Acute triangle

What is a Pythagorean triple? 3 numbers that form a right triangle that are WHOLE numbers.

What are the Pythagorean triples? 3-4-5 5-12-13 7-24-25 8-15-17 9-40-41 12-35-37 20-21-29

What are the sides in a 45-45-90 triangle? x- x- xroot2

What are the sides in a 30-60-90 triangle? x- 2x- xroot3

When do you use triples? When you have at least 2 sides and a GCF

When do you use regular Pythagorean? When nothing else works.

When do you use 45-45-90? If you have a right angle and con legs, or when you have con base angles.

When do you use 30-60-90? If one of the legs is half as much as the hypotenuse.

What is trigonometry? The study of right triangles.

What are the three main things we use in trigonometry? Sine, cosine, and tangent.

What is Theta? It is our you are here sign.

Sine- opposite over hypotenuse

Cosine- adjacent over hypotenuse

Tangent- opposite over adjacent

What is the name of the chief? SohCahToa

What is the difference between normal trig and inverse trig? In normal trig, you are given an angle and then solve for a ratio. In inverse trig, you start with a ratio and solve for an angle.

What is an angle of elevation? you look forward and then “look” up.

What is an angle of depression? you look forward and then “look” down.

What is the order of finding the law of sines- Draw, Code, Box

What codes work in law of sines? AAS and ASA

What laws are equal? sine and cosine, but only if the angles are complimentary

What laws are reciprocals? tan and tan, but only if the angles are complimentary