Pythagorean Theorem
What is the Pythagorean Theorem?
a2 + b2 = c2
square
The 30-60-90 degree rule is based on what shape?
equilateral triangle
A number you can make sense of and can be written as a ratio?
a rational number
What does a2 represent in the Pythagorean Theorem
The area of the square off side a
When you cut a square diagonally it forms what?
Two 45-45-90 degree triangles
If you cut an equilateral triangle in half it forms what?
Two 30-60-90 degree triangles
A number you can not write as a ratio and is hard to reason with?
irrational number
How can you find the area of the square off the hypotenuse in a right triangle?
Add the area of the squares off the legs (side a and b).
What is the rule for a 45-45-90 degree triangle?
What is the rule for a 30-60-90 triangle?
The side opposite the 30-degree angle is half the length of the hypotenuse or the hypotenuse is twice the side opposite the 30-degree angle.
A number that does not terminate nor repeat as a decimal
irrational number
How do you find the side length of a square when given the area?
Square root the area.
How can you find the hypotenuse of a 45-45-90 triangle?
multiply the side length times the square root of 2
How do you find side b (opposite the 60o angle) if given side a?
side a times the square root of 3
The following numbers 1/3, 0.7777..., square root of 81 are what?
rational