Cube Roots
Vocabulary
The Pythagorean Theorem
Using the Pythagorean Theorem
Square Roots
100

What is the cube root of -27

-3

100

What is the pythagorean theorem?

a2+b2=c2

100
Draw a triangle. a = 12 and b = 9. How long is side C?
c = 15
100
To reach the top of a building, the base of a 22-foot ladder is placed 8 feet from the wall. To the nearest tenth of a foot, how tall is the wall?
the wall is 20.5
100
What are the square roots of 25?
5 and -5
200

What is the cube root of 64 multiplied by 7

28

200
What is a leg?
One of the shorter sides of a right triangle that forms the 90 degree angle.
200
Draw a triangle. a = 7.5 and b = 10. How long is side C?
c = 12.5
200
James wants to draw a line diagonally across a rectangular piece of paper. If the paper measures 6 inches by 8 inches, what is the minimum length of the straight-edge he needs to make the line?
10 inches
200
What are the square roots of 100?
10 AND -10
300

What is the cube root of -125 divided by 10

-1/2

300
What is the longest side of a right triangle called?
hypotenuse
300
Draw a triangle. a = 8 and b = 8. How long is side C?
c = 11.31
300
To reach the top of a building, the base of a 17-foot ladder is placed 8 feet from the building. How tall is the building?
15 feet tall
300
What are the square roots of 49?
7 AND -7
400

What is the cube root of -8 multiplied by the square root of 64

-16

400
What does a triangle have to have for the Pythagorean Theorem to work?
A right angle
400
Draw a triangle. a = 15 and c = 25. How long is side B?
b = 20
400
A construction company is pouring foundation. The measures of two sides that meet in a corner are 33 feet and 56 feet. For the corner to be a right angle, what would the length of the diagonal have to be?
65 feet
400

What are the square roots of 324?

18 and -18

500

What is the cube root of 343 multiplied by 10

70

500

Can the following sides make a right triangle? 

8, 12, 14

no

500
Draw a triangle. b = 7.5 and c = 12.5. How long is side A?
a = 10
500
An escalator is 32 feet tall and begins 40 feet from a wall, what distance does the escalator carry the shoppers?
51.22 feet
500

What are the square roots of 729?

27 and -27

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