Distance on a Graph
Distance Formula
Find the Missing Side
Vocabulary / Formulas
Right Obtuse or Acute?
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

The side opposite the Right Angle.

Hypotenuse

100

a=12 b=5 c=13

Right

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 tenth?

14.1 inches

200

A statement that has been proven to be true.

A Theorem

200

a=23 b=56 c=70

Obtuse

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

The 2 sides of a Right Triangle that are adjacent to the right angle.

The Legs

300

a=19 b=37 and c=38

Acute
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

a=? b=82.5 c=93.85

44.7

400

Pythagorean Theorem


400

a=47 b=91 c=110

Obtuse

500

(-5,1) (4,0)

9.1

500

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

10.6

500

Caleb is playing hide-and-seek with Austin and Lillian. Austin is hiding 12 feet south of Caleb, and Lillian is hiding due east of Austin. If Caleb is 20 feet from Lillian, how far apart are Austin and Lillian?

16 feet

500

The Distance Formula


500

a=115 b=252 c=277

Right 

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