Pythagorean Theorem Review

Distance on a Coordinate Plane

100

(1,1) (4,5) 

c=5 Units

200

(1,10) (3,7)

c=3.61 Units 

300

(-4,12) (-3,-3)

c=15.03 Units 

400

(5, -3) (-5, 3)

c=11.66 Units 

500

(8,1) (-2,12) 

c=14.87 Units 

Pythagorean Triples

100

3,4,5

Yes 

200

Square Root of 9, Square root of 7, 4 

Sqrt(9) Sqrt(7), 4

Yes

300

400, 800, 1000

No 

400

9, 16, 20

No

500

81, 108, 135

Yes

Diagonal Space

100

 5, 5, 5

D= 8.66 Units 

200

10, 3, 12

D= 15.91 Units 

300

7, 11, 16

D= 20.64 Units

400

30, 6, 40

D= 50.36 Units 

500

50, 1, 73

D= 88.49 Units

Pythagorean Theorem

100

Given legs a=7 and b=10, find c. 

c=12.21 Units 

200

Given a=7 and c=15 find b

b=13.27 Units 

300

Given a=9 and b=12 find c. 

c=15 Units 

400

Given the length of a rectangle is 10 and the width is 2 find the diagonal of the rectangle. 

c= 10.20 Units 

500

Given the diagonal of a square is 72 inches, what are the side lengths? 

a= 6 inches 

Applying the Pythagorean Theorem

100

Jon walks 12 feet vertically and then 16 feet horizontally, what is the distance between where he started and where he ended? 

c= 20 feet 

200

Allison plays ice hokey, she moves 5 feet left before shooting the puck 15 feet diagonally, how far did the puck travel vertically? 

b=14.14 feet

300

Tony is stranded in the desert, he sees a thirsty cow that is 300 feet from him. He also sees a pond that is  400 feet to his left. If Tony wants to help the cow get some water, how far would the cow have to walk to the pond? 

c= 500 feet 

400

Cam is a sprinter that loves to run in diagonal lines, he spots a light post that is 17 feet directly in front of him, there is a stray cat 7 feet from the light post, how far would Cam have to run to get to the cat? 

c=17.72 feet

500

Hailey is a star football player, she knows that if she throws a ball 40 feet diagonally, after moving 10 feet horizontally, the person she is throwing to would have to run about 47 feet to catch the ball. Is she correct? 

No the person would have to run about 48.99 feet to catch the ball.