Vocabulary
what are the two shorter sides in a right triangle called?
legs
What are the two square roots of 64?
+ and - 8
What two integers is √6 between?
2 and 3
Rational, irrational, or not a real number: √9
Rational
What is the algebraic representation of the Pythagorean Theorem?
a^2 + b^2 = c^2
What is the set of numbers which consists of rational numbers and the set of irrational numbers?
Real numbers
What are the two square roots of 169?
+ and - 13
What two integers is -√90 between?
-9 and -10
Rational, irrational, or not a real number: -√9
Rational
NO CALC: The two legs of a right triangle are 3 and 4 units long respectively. What is the length of the triangle's hypotenuse?
5 units
What are numbers that can only be written as decimals that do not terminate or repeat?
Irrational Numbers
NO CALC: Evaluate: 5(√144 - 10)
10
NO CALC: Approximate √150 to the nearest tenth?
12.2
Rational, irrational, or not a real number: √-9
Not a real number
If a right triangle has a leg 15 units long and a hypotenuse 17 units long, how long is the other leg?
8 units
What do we call the longest side of a right triangle?
hypotenuse
CALC: A karate match is held on a square mat that has an area of 676 square feet. What is the length of the mat?
26 ft.
Each square on Laura's chessboard is 13 square centimeters. A chessboard has 8 squares on each side. To the nearest tenth, what is the width of Laura's chessboard?
approx. 28.8 cm.
Give an example of an irrational number that is less than -3.
Possible answer:-√30
A traffic helicopter flies 10 miles due north and then 24 miles due east. Then the helicopter flies in a straight line back to its starting point. What was the distance of the helicopter's last leg back to it's starting point?
26 miles
What do we call the non-negative square root of a number?
Principal Square Root
An office building has a square courtyard with an area of 289 square feet. What is the distance around the edge of the courtyard?
68 ft.
NO CALC: A square photo is placed behind a piece of glass that has an area of 20 square inches. To the nearest tenth, what length of frame is needed to go around all edges of the glass?
18 in.
Find a real number between 4 and √9
possible answer: 3.5
The bottom of a ladder needs to be 2 feet from the wall. The ladder is 11 feet long. How high above the ground will the ladder reach?
10.8 ft