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PYTHAGORAS' THEOREM/TEOREM PYTHAGORAS

Total questions: 20

Worksheet time: 17mins

Name
Class
Date
1.
—State the Pythagoras Theorem using the information given in the triangle below.
a)
r + q = p
b)
p + q = r
c)
r2 + q2 = p2
d)
p2 + r2 = q2
2.
What kind of triangles does the Pythagorean Theorem work with?
a)
Right
b)
Left
c)
Isosceles
d)
Equilateral
3.
Yang mana satukah merupakan hipotenus?
a)
a
b)
b
c)
c
d)
c2
4.

Antara berikut, yang manakah BUKAN panjang sisi bagi sebuah segi tiga bersudut tegak?

a)

3, 4, 5

b)

5, 12, 13

c)

6, 8, 10

d)

9, 11, 14

5.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
6.
Find x.
a)
35
b)
20
c)
8
d)
12
7.
What is the name of the longest side of a right-angled triangle?
a)
Pythagoras
b)
Hypotenoose
c)
Hipotenuse
d)
Hypotenuse
8.
Does an 8, 15, 16 triangle have a Right Angle?
a)
Yes
b)
no
9.

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

a)

32.1

b)

32.10

c)

54.75

d)

47.2

10.

Which of the following are not right-angled triangle?

a)

3cm , 4cm , 5cm

b)

18cm, 34cm, 30cm

c)

15cm, 8cm, 17cm

d)

12cm, 5cm, 13cm

11.

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

12.

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

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.

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

15.
Identify the hypotenuse.
a)
x
b)
z
c)
w
16.

Given a2 = c2 - b2. Find the value of b if a = 10 and c = 26.

a)

21

b)

22

c)

23

d)

24

17.

Aleef is given three straws to form a frame in the shape of a right-angled. The straws are 15 cm, 20 cm and 25 cm long respectively. Will he able able to form the frame in the shape of a right-angled triangle?

a)

YES

b)

NO

18.

Which the lengths of sides in each of the following can form a right-angled triangle?

a)

3 cm, 4 cm, 5 cm

b)

8 cm, 15 cm, 17 cm

c)

9 cm, 12 cm, 18 cm

d)

15 cm, 20 cm, 25 cm

e)

12 cm, 18 cm, 20 cm

19.

The opposite side to the right angle is ________________.

a)

Hypotenuse

b)

Hipotenus

c)

Hypotinus

d)

Hipotenuse

20.

Pythagoras' theorem can be used to

a)

determine the length of an unknown side

b)

determine the length of an unknown side if the lengths of two other sides are given.

c)

determine the length of an unknown side in a right-angled triangle if the lengths of two other sides are given.