Exploring the Pythagorean Theorem and Distance Calculation

The perimeter of squares

The volume of cubes

The sides of a right triangle

The areas of circles

By measuring directly on the graph

By calculating the area of a square

By finding the hypotenuse of a right triangle

By adding the coordinates

7

6

8

5

Square root of (a squared plus b squared)

Square root of (a squared minus b squared)

a squared plus b squared

a squared minus b squared

8.1

7.5

7.8

8.5

Sum of x and y changes

Change in y over change in x

Change in x over change in y

Difference between x and y changes

By comparing x and y values directly

By drawing a circle

By measuring the angles

By calculating the area of the triangle

24

18

21

15

2

-2

-8

8

8.5

9.1

9.0

8.9