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Pythagorean Theorem - practise 2
Contributed by: Moore
(Original author: Rooks)
1) What is the length of the unknown side?

10

14

8

 

12

x

6
8

2) A 7.2 m long ladder is leaning against a building so 

that the height from the top of the ladder to the ground 

is 6.4 m. What is the distance on the ground (to the 

nearest tenth of a metre) from the bottom of the 

ladder to the building.

 

 

3.3 m

0.8 m

13.6 m

9.6 m

3)
Calculate the diagonal h in this rectangle. 

18

10.4

13.4

12.4

h

12

6

4) Zeynab purchased a TV whose diagonal measure 

was 45". Its height was 27", how long was it? 

 

18"

72"

36"

35"

5)  A pool is 18 by 30 feet. If Jay swims diagonally 

across the pool, how far did he swim?

35 feet

48 feet

12 feet

32 feet

6)

This is an obtuse triangle.

The value of f is 28.3.

The length of f is 11.7 units. 

This triangle is scalene.

40.0

f

28.3

Choose the correct 
statement based on 
this triangle.
7)

14

48

x

x = 50

x = 62

x = 34

x = 54

Which is the length 
of the hypotenuse?
8)
The diagonal of this rectangle only goes halfway across. How long is it to the nearest metre? (no decimals, number only)
29.4 m
17.1 m

10) Which side length combination 

represents a right triangle? 

9, 16, 30

16, 28, 30

12, 14, 16

25, 60, 65

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