9.1-9.6 Flashcards
Trigonometry
What do you use to find the hypotenuse of a 45-45-90 triangle?
Multiply by square root of 2
What do you use to find the leg of a 45-45-90 triangle?
Divide by square root of 2
Short leg to long leg? (30-60-90)
Multiply by square root of 3
Long leg to short leg? (30-60-90)
Divide by square root of 3
Short leg to hypotenuse? (30-60-90)
Multiply by 2
Hypotenuse to short leg? (30-60-90)
Divide by 2
Area of a triangle
A=1/2bh
Pythagorean triples
3,4,5
5,12,13
8,15,17
7,24,25
How do you decide what triangle it is?
If x^2 + y^2 > z^2 its acute
If x^2 + y^2 < z^2 its obtuse
If x^2 + y^2 = z^2 it’s a right triangle
How do you prove it’s a triangle?
If x + y > z
How do you find a value in a triangle (ex: x)
Long/ hyp
Short/ hyp
Short/ long
How do you find the geometric mean of two numbers?
y/x = x/z
How do you find the altitude of a triangle?
Multiply the two base numbers and square root them
What is the shortcut for sin, tan, cos?
SOH-CAH-TOA