wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

pythgoras theorem

Total questions: 22

Worksheet time: 24mins

Name
Class
Date
1.

The hypotenuse is always.............

a)

The right angle side

b)

The shortest side

c)

The longest side

d)

On the outside

2.

What kind of triangles does the Pythagorean Theorem work with?

a)

Right-angled triangle

b)

Obtuse-angled triangle

c)

Equilateral triangle

d)

Acute-angled triangle

3.
Identify the hypotenuse.
a)
x
b)
z
c)
w
4.

PQ is the base of a right angled triangle... RQ is the height of the right angled triangle... Then, determine the hypotenuse of the right angled triangle.

a)

PQR

b)

RQP

c)

QP

d)

PR

5.

What is the relation between the three sides of the right-angled triangle in the figure?

a)

y = x + z

b)

x2+y2 = z2

c)

y2 = x2+ z2

d)

y2 = x2 - z2

6.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a2-b2=c2
d)
c-a=c
7.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
8.
What is the length of the hypotenuse?
a)
16
b)
30
c)
34
9.

If a right triangle has side lengths 6, 8 and 10, which side is the hypotenuse?

a)

6

b)

10

c)

9

d)

38

10.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

Not enough information

11.

The opposite to angle 'b' is

a)

3

b)

4

c)

5

d)

a

12.
a)

11

b)

12

c)

9.8

d)

11.5

13.
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)
58
d)
75
14.

What is the length of the monitor diagonally in two decimal places ?

a)

30.1

b)

32.10

c)

54.75

d)

47.2

15.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
16.

In a computer catalog, a computer monitor is listed as being 27 cm. This distance is the diagonal distance across the screen. If the screen measures 15 cm in height, what is the actual width of the screen to the nearest inch?

a)

22 cm

b)

23 cm

c)

24 cm

d)

25 cm

17.

The length of line BD is....

a)

10 cm10\ cm

b)

11 cm11\ cm

c)

12 cm12\ cm

d)

13 cm13\ cm

18.

Find the value of h

a)

7 cm

b)

10 cm

c)

3,87 cm

d)

8,06 cm

19.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
20.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
a)
210 m
b)
180 m
c)
150 m
d)
79 m
21.

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school? 

a)

14 blocks

b)

12 blocks

c)

10 blocks

d)

8.5 blocks

22.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet