Studied by 8 peopleSide Length Rule
In a triangle, the sum of any two sides must be greater than the third remaining side; otherwise, it can’t be a triangle
Bigger angle = longer opposite side length
What is the direct relationship between angles and sides?
Special Right Triangles
If a right triangle has angle measures of 45-45-90 or 30-60-90, the side lengths follow a specific ratio (*Vice Versa: Specific Angle Set → Specific Side Length Ratio)
If you see an angle measure of 30, 45, or 60 or side lengths with the square root of 2 or 3 in ANY type of question
What is the trigger for when you’re being tested on special right triangle knowledge?
Pythagorean Theorem
Use two known sides lengths to calculate the missing side length
a^2 + b^2 = c^2
What is the formula for the Pythagorean theorem?
Shorter, interchangeable
a & b are two of the ---- sides and are -----
Hypotenuse
c is always the _____
Right
The pythagorean rule only works with what triangles?
Similar Triangles
In two triangles with same set of angles, corresponding side lengths (across from the same angle) are proportional
Corresponding, angles
For similar triangles, you must use ----- angles and sides; rely on the ----, not the shape
Simple Numbers --→ Multiplying/Dividing Method 2. Complex Numbers -→ Short - Long Method
What are the two methods to find the missing side lengths?
Finds out what you have to multiply or divide the sides by
What is the Simple Numbers -→ Multiplying/Dividing Method?
Always check if two triangles are similar FIRST (same set of angles) and remember that the corresponding sides are proportional (check angles)
What are the two most important things to remember for similar triangles?
Short/Long = Short/Long
What is the Complex Numbers -→ Short-Long Method?
Radian x 180/radian = Angles
How do you turn a radian into an angle?
Angle x radian/180 = Radians
How do you turn an angle into a radian?
X
Label yellow
X Square Root of 3
Label yellow
2X
Label yellow
Note
Flashcard