Applications: Pythagorean Theorem
Find the missing side

x

6
8

8

 

10

14

12

A  15 ft. ladder is placed against a building

so that the distance from the top of the ladder

to the ground is 10 ft.  Find the distance (to the

nearest tenth) from the bottom of the ladder to

the building.

(Draw the shape out to help you decide what you

need to find) 

 

11.2

10.8

11.9

10.3

Find x using the pythagorean theorem.
x

12

13.8

13.4

12.9

12.4

6

Jania purchased a 45 inch tv, which means

that diagonally it is 45 inches.  If the height of the

tv is 27 inches, how long would it it be? 

 

36

35

34

32

A pool is 12 feet by 20 feet.  If Jay swims

diagonally across the pool, how far did he swim?

22.3

22.9

23.3

23.9

20

15

13

14

16

x

12

14

48

x

50

48

52

54

14

11.5

11.9

12.5

12.9

8

x

15

25

22

24

x
24
7

Which is a right triangle? 

16, 28, 30

9, 16, 30

25, 60, 65

12, 14, 16

3
x
4
7

7.6

7.2

8.2

8.6

Find x to the nearest

tenth.

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