Free Printable Pythagorean

1.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

2.

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

3.

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

4.

Do the segment lengths 9, 12, and 15 form a right triangle?

a)

Yes

b)

No

c)

Maybe

d)

Pythagoras

5.

_{^{Find the missing side}}

a)

9

b)

26.9

c)

37

d)

18.2

6.

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

7.

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

a)

square

b)

arm

c)

leg

d)

hypotenuse

8.

Which of the following sentences would belong in the proof that describes this image?

a)

The sum of the areas of the two smaller squares is equal to the area of the large square.

b)

The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

c)

The difference of the areas of the two smaller squares is equal to the area of the large square.

d)

The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

9.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

10.

The Pythagorean Theorem is
c² = a² - b²

a)

false

b)

true

11.

Sides a and b are called legs.

a)

true

b)

false

12.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

13.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

14.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

15.

Do the segment lengths 15, 12, and 9 form a right triangle?

a)

Yes

b)

No

c)

Maybe

d)

Pythagoras

16.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

17.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

18.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

19.

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

a)

32

b)

37

c)

19

d)

20

20.

Who is is?

a)

some man

b)

Sponge Bob

c)

Pythagoras

21.

c= 97, b= 72, a=?

a)

35

b)

75

c)

65

d)

55

22.

What is the name for side c?

a)

head

b)

body

c)

hippopotamus

d)

hypotenuse

23.

Do the lengths form a right triangle? 6, 8, 10

a)

yes

b)

no

24.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

25.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

26.

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

a)

square

b)

arm

c)

leg

d)

hypotenuse

27.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

28.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

29.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

30.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

31.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

32.

Determine if the following set of numbers are Pythagorean Triples.
15, 20, 25

a)

Yes

b)

No

33.

Determine if the following set of numbers are Pythagorean Triples.
18, 73, 75

a)

Yes

b)

No

34.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

35.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

36.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

37.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

38.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

39.

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

a)

square

b)

arm

c)

leg

d)

hypotenuse

40.

Which of the following sentences would belong in the proof that describes this image?

a)

The sum of the areas of the two smaller squares is equal to the area of the large square.

b)

The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

c)

The difference of the areas of the two smaller squares is equal to the area of the large square.

d)

The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

41.

Would a triangle with these side lengths be a right triangle?
4, 5, 6

a)

Yes

b)

No

42.

solve for c

a)

7

b)

9

c)

4

d)

13

43.

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

44.

a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?

a)

yes

b)

no

45.

what is the formula for finding the hypotnuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

46.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

47.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

48.

_{^{Find the missing side}}

a)

37

b)

17.66

c)

6

d)

312

49.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

50.

The pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

51.

what is the formula for finding the hypotnuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

52.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

53.

_{^{Find the missing side}}

a)

37

b)

17.66

c)

6

d)

312

54.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

55.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

56.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

57.

Side a on a right triangle is ALWAYS the longest side.

a)

true

b)

false

58.

you ADD a² and b² then take the square root to find c on a right triangle.

a)

true

b)

false

59.

solve for c

a)

7

b)

9

c)

4

d)

13

60.

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

61.

What is the relationship between the sides in the Pythagorean Theorem shown?

a)

a + b = c

b)

a² + b² = c²

c)

a² – b² = c²

d)

a – b = c

62.

What is the length of the missing side?

a)

x = 4

b)

x = 8

c)

x = 10

d)

x = 16

63.

Which equation can be used to solve for "x"?

a)

15² – x² = 21²

b)

x² – 15² = 21²

c)

15² + 21² = x²

d)

21² – 15² = x²

64.

Find the value of "c"

a)

c = 8

b)

c = 10

c)

c = √52

d)

c = √20

65.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

66.

What is the length of the hypotenuse in the triangle shown?

a)

3

b)

4

c)

5

d)

8

67.

What is the value of "x"?

a)

28

b)

20

c)

10.6

d)

4

68.

The legs of a right triangle have lengths 10 and 24. What is the length of the hypotenuse?

a)

13

b)

14

c)

26

d)

34

69.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

70.

solve for c

a)

7

b)

9

c)

4

d)

13

71.

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)

15.7

e)

None of them

72.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

73.

Sides a and b are called legs.

a)

true

b)

false

74.

Name the longest side of a right triangle.

a)

leg a

b)

leg b

c)

leg

d)

hypotenuse

75.

a² + b² = c^{2
b = 35 c = 37}

a)

a = 12

b)

a = 11

c)

a = 18

d)

a = 14

76.

Is this a right triangle?

a)

whatever that means

b)

no

c)

what is that

d)

yes

77.

4² = ?

a)

9

b)

8

c)

16

d)

18

78.

9² = ?

a)

81

b)

4.5

c)

18

d)

72

79.

?

a)

2

b)

3

c)

4.5

d)

81

80.

The legs form what type of angle?

a)

Acute

b)

Obtuse

c)

Reflex

d)

Right

81.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

82.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

83.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

84.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

85.

_{^{Find the missing side}}

a)

9

b)

26.9

c)

37

d)

18.2

86.

How far does the catcher throw the ball from home plate to 2nd base?

a)

63.6 ft

b)

16,129 ft

c)

13.4 ft

d)

127.3 ft

87.

What is the hypotenuse (c)?

a)

the two sides that make up the right angle

b)

the longest side, across from the right angle

c)

the shortest side

d)

the straight side of the triangle

88.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

89.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

90.

The Pythagorean Theorem is
c² = a² - b²

a)

false

b)

true

91.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

92.

Find the length of the missing side. (Calculators are allowed)

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

93.

In a right triangle __________is ALWAYS the longest side.

a)

a leg

b)

a hypotenuse

94.

Use Pythagorean Theorem to find one of the legs would be like
$a^2=c^2-b^2\ or\ a\ =\sqrt{c^2-b^2}$

a)

false

b)

true

95.

what is the formula for finding the hypotnuse?

a)

a²+ b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c²-a²=b

96.

Find the length of the missing side. (Calculators are allowed)

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

97.

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

98.

Would a triangle with these side lengths be a right triangle?
4, 5, 6

a)

Yes

b)

No

99.

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? (Calculators are allowed)

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

100.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

Pythagorean

Total questions: 100

Worksheet time: 7hrs 12mins

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