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Worksheets

PYTHAGORAS THEOREM

Total questions: 20

Worksheet time: 1hrs 13mins

Name
Class
Date
1.
What kind of triangles does the Pythagorean Theorem work with?
a)
Right
b)
Left
c)
Isosceles
d)
Equilateral
2.
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
3.
Identify the hypotenuse.
a)
x
b)
z
c)
w
4.
What is the length of x?
a)
5.7
b)
10.6
c)
20
d)
400
5.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
6.
Find x.
a)
35
b)
20
c)
8
d)
12
7.

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

a)

The right angle side

b)

The shortest side

c)

The longest side

d)

On the outside

8.
a)

11

b)

12

c)

9.8

d)

11.5

9.

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

10.

Find the missing side of this right angled triangle...

a)

4.1cm

b)

2.4cm

c)

2.5cm

d)

4.2cm

11.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
12.
If a man is 6 ft. tall and he casts a shadow that is 3 ft. long, what is the distance from the top of the man's head to the end of his shadow.?
a)
9 feet
b)
6 feet
c)
6.7 feet
d)
9.7 feet
13.

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

a)

32.1

b)

32.10

c)

54.75

d)

47.2

14.
What is the side from point A to point B called? 
a)
Opposite
b)
Adjacent
c)
Hypotenuse
15.

Determine what type (if any) of a triangle would have the following side lengths:


4, 6, 7

a)

acute

b)

obtuse

c)

right

d)

not a triangle

16.

Do these three lengths form a right, acute or obtuse triangle? 20 ft, 21 ft, and 27 ft

a)

Right

b)

Acute

c)

Obtuse

17.
The iPad is measured by the screen's diagonal length.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
18.

The exact value of x is:

a)

10.63

b)

113\sqrt{113}

19.

Out of the dates given below which date constitutes a Pythagorean triplet ?

a)

15/08/17

b)

16/08/16

c)

3/5/17

d)

4/9/15

20.

Identify,which of the following are Pythagorean triplets.

a)

(3, 5, 4)

b)

(4, 9, 12)

c)

(5, 12, 14)

d)

(24, 70, 74)