distance on a graph
Distance Formula
Find the Hypotenuse
Find a Leg
Finding a, b, or c
100

(-2,4) (0,3)

2.2

100

What is the distance between (8, 12) and (6,4)?

8.2

100
a=6, b=8, c=__
10
100
a=9, b=__, c=41
40
100

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

hypotenuse

200

(-3,3)(2,2)

5.1

200

What is the distance between (15, 6) and (8,11)?

8.6

200
Two legs of a right triangle each measure 10 inches.  How long is the hypotenuse rounded to the nearest thousandth?
14.142 inches
200
a=__, b=12, c=19


Round to the nearest thousandth.

14.731
200

a=23 b=56 c=?

60.5

300

(0,-5) (5,1)

7.8

300

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

6.3

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
300
a= 27, b=__, c=61


Round to the nearest tenth.

54.7
300

a=19 b=? and c=38

32.9

400

(3,5) (4,-4)

9.1

400

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

7.3

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
400
a=__, b=35, c=37
12
400

a=47.4 b=91.7 c=?

103.2

500

(-5,1) (4,0)

9.1

500

How far is it between (0, -5) and (-8, 2)?

10.6

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
500
a=27.005, b=__, c=148.5


Round to the nearest thousandth.

146.024
500

a=? b=82.5 c=93.85

44.7