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pythagoras theorem

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.
Identify the hypotenuse.
a)
x
b)
z
c)
w
2.
What is the length of the side adjacent to ∠Z?
a)
16
b)
30
c)
34
3.

What is the length of PR?

a)

14.2

b)

9

c)

13.5

d)

7

4.

If a man goes 15 m due north and then 8 m due east, then his distance from the starting point is :

a)

7 m

b)

17 m

c)

23 m

d)

120 m

5.

A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall. What is the height of the wall?

a)

2 cm

b)

8 m

c)

2 m

d)

5 m

6.

Find the value of x.

a)

11

b)

12

c)

9.8

d)

11.5

7.

To get from point A to point B you must avoid walking through a pond.  To avoid the pond, you must walk 34 meters south and 41 meters east.  To the nearest meter, how many meters would be saved if it were possible to walk through the pond? 

a)
35
b)
22
c)

53

d)
75
8.

Find the length of EC.

a)

7.5 cm

b)

9 cm

c)

21 cm

d)

27 cm

9.

A ladder is 6 m long. The base of the ladder is 2 m from the wall. How tall up the wall does the ladder reach?

Give your answer to 2 d.p.

a)

5.65 m

b)

5.66 m

c)

5.67 m

d)

492.68 m

10.

.

4 lines