Free Printable Pythagorean Theorem

1.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

2.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

3.

Simplify
√600

a)

100√6

b)

6√100

c)

10√6

d)

Can't Simplify

4.

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

a)

9ft

b)

11ft

c)

6ft

d)

14ft

5.

What is the side of a right triangle across from the right angle called?

a)

square

b)

arm

c)

leg

d)

hypotenuse

6.

Sides a and b are called legs.

a)

true

b)

false

7.

What is Taylor Swift's lucky number?

a)

10

b)

11

c)

12

d)

13

8.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

9.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

10.

Simplify
√7*√7

a)

√49

b)

7

c)

7√7

d)

Can't Simplify

11.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

12.

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

13.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

14.

Solve for x. SIMPLIFY your radical answer completely.

a)

4√2

b)

2√4

c)

2√2

d)

16√2

15.

Taylor has ______ cat(s)

a)

0

b)

1

c)

2

d)

3

16.

What is the formula for Pythagorean theorem?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

17.

Simplify:
3√16

a)

12

b)

48

c)

√12

d)

3√4

18.

If the legs of a right triangle are 10 and 24, then the hypotenuse is __________.

a)

21

b)

19

c)

26

d)

30

19.

4² = ?

a)

9

b)

14

c)

16

d)

18

20.

Which set of side lengths form a right triangle?

a)

3, 4, 7

b)

33, 56, 65

c)

66, 72, 97

d)

10, 15, 25

21.

Taylor Swift's cats are named...

a)

Meredith and Olivia

b)

Tom and Jerry

c)

Abigail and Selena

22.

Do these 3 side lengths form a right triangle?
13, 80, and 81?

a)

yes

b)

no

23.

?

a)

6

b)

7

c)

8

d)

9

24.

Solve for x. SIMPLIFY your radical answer completely.

a)

4√22

b)

22√4

c)

22√2

d)

2√22

25.

9² = ?

a)

81

b)

90

c)

99

d)

72

26.

Solve for x. SIMPLIFY your radical answer completely.

a)

2√6

b)

6√2

c)

4√6

d)

6√4

27.

?

a)

11

b)

12

c)

14

d)

16

28.

What year was Taylor Swift born?

a)

1989

b)

2013

c)

1372

d)

8

29.

Solve for x. SIMPLIFY your radical answer completely.

a)

119

b)

√119

c)

13

d)

√13

30.

What's Taylor Swift's favorite holiday?

a)

Easter

b)

Thanksgiving

c)

4th of July

d)

Christmas

31.

?

a)

2

b)

3

c)

9

d)

81

32.

Solve for x. SIMPLIFY your radical answer completely.

a)

√3

b)

3

c)

√41

d)

41

33.

Simplify
3√27

a)

3√9

b)

27√3

c)

9√3

d)

Can't Simplify

34.

Solve for x. SIMPLIFY your radical answer completely.

a)

√181

b)

90

c)

19

d)

√19

35.

How many awards has Taylor Swift won?

a)

150

b)

3

c)

200

d)

275

36.

Simplify:
√45

a)

9√5

b)

3√5

c)

5√9

d)

3√15

37.

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
11, 12, 15

a)

right

b)

obtuse

c)

acute

38.

What was Taylor’s first album called?

a)

Tim McGraw

b)

Fearless

c)

Taylor Swift

d)

Blank Space

39.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

40.

What is the length of the missing side?

a)

x = 4

b)

x = 8

c)

x = 10

d)

x = 16

41.

Simplify:
√50

a)

2√5

b)

25√2

c)

5√2

d)

10√2

42.

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
4, 5, 6

a)

right

b)

obtuse

c)

acute

43.

Simplify:
√6 ⋅√6

a)

√36

b)

2√3

c)

12

d)

6

44.

How long did it take Taylor Swift to write "Love Story"?

a)

A month

b)

A week

c)

An hour

d)

30 Minutes

45.

State if the three side lengths form an acute, obtuse, or right triangle.

a)

a

b)

b

c)

c

d)

d

46.

Where was Taylor Swift's first job?

a)

Her parents garden

b)

Her parents Christmas tree farm

c)

Dance studio

d)

Musician

47.

Simplify the following radical: 2√24

a)

4√6

b)

2√6

c)

24√2

d)

4√4

48.

Erika 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

49.

a= 12, b= 35, c= ? Find c

a)

32

b)

37

c)

19

d)

20

50.

How old was Taylor Swift, when she got her first record deal?

a)

12

b)

10

c)

13

d)

14

51.

If a triangle has a side a=5 and b=12, what is c?

a)

10

b)

17

c)

169

d)

13

52.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

53.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

54.

a)

A

b)

B

c)

C

d)

D

55.

a)

A

b)

B

c)

C

d)

D

56.

a)

A

b)

B

c)

C

d)

D

57.

a)

A

b)

B

c)

C

d)

D

58.

True or False: The following list contains only perfect squares.
1, 4, 9, 27, 81, 100

a)

True

b)

False

59.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

Pythagorean Theorem

Total questions: 59

Worksheet time: 8hrs 42mins

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