Pythagorean Theorem & Distance

Distance between two points (Graph or Formula)

100

(-2,4) (0,3)

2.2

200

Graph: 

(-3,3)(2,2)

5.1

300

What is the length of the line segment with endpoints (8,4) and (2,6) to the nearest tenth?

6.3

400

Graph: 

How far is it from (-4,9) to (3, 7) to the nearest tenth?

7.3

500

(-5,1) (4,0)

9.1

Square, Square Roots, Cubes, Cube Roots

100

16x² = 64

2

200

x³ = 1000

10

300

negative square root of 36

-6

400

Which of these are RATIONAL numbers 

1/3    -11   √2    pi.  √36  

1/3, -11, √36 

500

cube root of (4096 / 4913)

16/17

Find the Leg or Hypotenuse

100

a=6, b=8, c=__

10

200

a=__, b=12, c=19

Round to the nearest thousandth.

14.731

300

a=__, b=35, c=37

12

400

a=9, b=__, c=41

40

500

a=27.005, b=__, c=148.5

Round to the nearest thousandth.

146.024

Is it a right triangle?

100

a = 2.1, b = 7.2, c = 7.5

Yes

200

a = 6.4, b = 12, c = 12.2

No

300

5, 13, 12

Yes

400

9, 8, 6

No

500

You are cleaning the gutters on your house. The gutters are at a height of 37 feet above the ground.  Your ladder is 50 feet tall. How far away from the house should you place the ladder? Round to the nearest tenth.

33.6 feet

Word Problems

100

what does the c stand for in pythagorean's theorem?

hypotenuse

200

Two legs of a right triangle each measure 10 inches.  How long is the hypotenuse rounded to the nearest thousandth?

14.142 inches

300

Jane and Miguel are siblings that go to different schools.  Jane walks 3 blocks east from home and Miguel walks 8 blocks north.  How many blocks apart would the two schools be if you could walk straight from one school to the other?  Round to the nearest hundredth.

8.54 blocks

400

The base of a rectangular box has a width of 3 inches and a length of 4 inches.  The box is 12 inches tall.    How far is it from one of the box's top corners to the opposite corner of the base of the box?

13 inches

500

A diagonal of a cube goes from one of the cube's top corners to the opposite corner of the base of the cube.  Find the length of the diagonal in a cube that has an edge of length 10 meters.  Round to the nearest hundred thousandths.

17.32051 meters