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Worksheets

Pythagorean Relationship

Total questions: 35

Worksheet time: 33mins

Name
Class
Date
1.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
2.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
3.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
4.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
5.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
6.
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
7.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
8.
The legs form what type of angle?
a)
Acute
b)
Obtuse
c)
Reflex
d)
Right
9.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
10.
Side a on a right triangle is ALWAYS the longest side.
a)
true
b)
false
11.
you ADD a2 and c2 then take the square root to find b on a right triangle.
a)
true
b)
false
12.
The Pythagorean Theorem is
a2 + b2 + c2
a)
false
b)
true
13.
The Pythagorean Theorem is
a2 + b3 = c4
a)
false
b)
true
14.

Sides a and b are called legs.

a)

true

b)

false

15.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

16.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
17.

Who is is?

a)

some man

b)

Sponge Bob

c)

Pythagoras

18.

You can find right triangles when they build houses.

a)

False

b)

True

19.

What is the name for side c?

a)

head

b)

body

c)

hippopotamus

d)

hypotenuse

20.
Which number is a factor of 10
a)
3
b)
4
c)
5
d)
8
21.
Which number is a factor of 18
a)
4
b)
7
c)
6
d)
12
22.
Which number is a factor of 21
a)
8
b)
9
c)
6
d)
3
23.
Which number is prime?
a)
9
b)
5
c)
15
d)
1
24.
List all the factors of 12
a)
1, 2, 3, 4, 6, 12
b)
1, 2, 4, 12
c)
1, 12
d)
1, 2, 3, 4, 5, 6, 12
25.
14, 49, and 28 are all multiples of what number?
a)
2
b)
7
c)
4
d)
5
26.
√ 4
a)
2
b)
7
c)
16
d)
1
27.
√ 64
a)
4
b)
6
c)
9
d)
8
28.
22
a)
2
b)
4
c)
5
d)
6
29.
72
a)
50
b)
49
c)
14
d)
48
30.
112
a)
132
b)
144
c)
121
d)
22
31.
12
a)
1
b)
0
c)
10
d)
2
32.

Use a factor tree to find prime factorization of 24.

a)

2 x 3 x 2 x 3

b)

2 x 3 x 2 x 2

c)

6 x 2 x 2

d)

2 x 3 x 4

33.

Use a factor tree to find the prime factorization of 50.

a)

2 x 2 x 5 x 5

b)

5 x 5 x 3 x 2

c)

2 x 5 x 5

d)

2 x 25

34.

Use a factor tree to find the prime factorization 130.

a)

5 x 2 x 13

b)

5 x 2 x 5 x 13

c)

10 x 3 x 5 x 2

d)

2 x 3 x 3 x 5

35.

Which of the following numbers is prime?

a)

15

b)

18

c)

19

d)

21