Vocabulary
What is the inverse of squaring a number?
square root
Classify 1/2
Rational, Real
Is 25 a perfect square? Perfect cube?
Perfect square
5*5=25
Solve x2 = 54
x=7.34846...
The length of a leg of a certain right triangle is 5, and the other leg length is 6. What is the length of the hypotenuse?
3.93649...
What is the inverse of cubing a number?
cube root
Classify 5.2323232323...
rational, real
(non-terminating and repeating)
Is 66 a perfect square? Perfect cube?
Neither
Solve x3 = 85
x=4.396829...
The length of the leg of a right triangle is 99, and the hypotenuse is 101. What is the length of the missing leg?
20
With what type of triangle do we use the Pythagorean Theorem to solve for a missing side length?
right triangle
Classify 2.179037...
Irrational, Real
(non-terminating and non-repeating)
Is 941,192 a perfect square? Perfect cube?
Perfect cube
98*98*98=941,192
Solve x2 =289
The hypotenuse of a right triangle is 18, and one of the legs is 14. What is the length of the other leg of this right triangle?
11.31370...
What letter(s) in the Pythagorean Theorem represent(s) the hypotenuse?
c
Classify 6/2
Natural, Whole, Integer, Rational, Real
6/2 = 3
Is 81 a perfect square? A perfect cube?
Perfect square
9*9=81
Solve x2 = 19
x=4.358898...
A ladder is propped up against a house. It is set 7 feet from the base of the house and sits 6 feet up against the house. How long is the ladder?
9.219544...
What letter(s) in the Pythagorean Theorem represent(s) the leg?
a and b
Classify 7.175927593
Rational, Real
(all terminating decimals are rational)
Is 1,331 a perfect square? A perfect cube?
Perfect cube
11*11*11=1331
Solve x3 = 512
x = 8
The size of TV's is measured by the diagonal. If the height of a 42 inch TV is 15 inches, what is the length of the TV?
39.230... inches