Free Printable Pythagorean Theorem Practice

1.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

2.

What is the formula for Pythagorean Theorem?

a)

$a^2+b^2=c^2$

b)

b-a=c

c)

$a^2-b^2=c^2$

d)

a+b=c

3.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

4.

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

5.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

6.

^{Find the length of the missing side}

a)

48

b)

108

c)

83.6

d)

72

7.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

8.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

9.

What is the diagonal length of the iPad?

a)

9.2 in

b)

11 in

c)

13 in

d)

9.6 in

10.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

6.2

11.

solve for c

a)

7

b)

9

c)

4

d)

13

12.

Which equation is modeled by the picture shown?

a)

3²+5²=4²

b)

3²+4²=5²

c)

5²+4²=3²

d)

9²+16²=25²

13.

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

14.

This is the longest side of a right triangle

a)

hypotenuse

b)

leg

c)

Pythagorean theorem

d)

Right triangle

15.

4a + 3 = 15

a)

2

b)

4

c)

1

d)

3

16.

12x = 144

a)

x = 12

b)

x = 4

c)

x = 2

d)

x = 132

17.

Solve for the value of x.

$\frac{\text{10}}{\text{k}}=\frac{8}{4}$

a)

k = 5

b)

k = 10

c)

k = 15

d)

k = 20

18.

Solve for the value of x.

$\frac{x}{8}=\frac{13}{2}$

a)

x = 50

b)

x = 51

c)

x = 52

d)

x = 53

19.

The Pythagorean Theorem is
c² = a² - b²

a)

false

b)

true

20.

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

a)

Yes

b)

No

c)

Maybe

d)

Pythagoras

21.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

22.

You can find right triangles when they build houses.

a)

False

b)

True

23.

Find the missing side length.

a)

$\sqrt[]{36}$ yards

b)

$\sqrt[]{95}$ yards

c)

$\sqrt[]{19}$ yards

d)

$\sqrt[]{193}$ yards

24.

Find the missing side length.

a)

$\sqrt[]{153}$ Kilometers

b)

$\sqrt[]{17}$ Kilometers

c)

$\sqrt[]{135}$ Kilometers

d)

$\sqrt[]{185}$ Kilometers

25.

Find the length of the hypotenuse.

a)

4 inches

b)

3 inches

c)

5 inches

d)

6 inches

26.

One leg is 63 meters and the hypotenuse is 65 meters. How long is the other leg?

a)

256 meters

b)

16 meters

c)

90 meters

d)

63 meters

27.

One leg of the triangle is 1.8 miles and the other is 8 miles long. How long is the hypotenuse?

a)

8 miles

b)

18 miles

c)

1.8 miles

d)

8.2 miles

28.

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

29.

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

30.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

31.

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

32.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

33.

The longest side of a triangle is always the...

a)

hypotenuse

b)

leg

c)

right angle

d)

base

34.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

35.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

36.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

37.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

38.

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

39.

The length of the hypotenuse of a right triangle is 13 cm. If one leg measures 12 cm, how long is the other leg?

a)

2 cm

b)

5 cm

c)

25 cm

d)

18 cm

40.

Which of the following statements is true?

a)

The leg of a right triangle must be shorter than the hypotenuse

b)

The leg of a right triangle can have the same measure as the hypotenuse

c)

The Pythagorean Theorem can be used to find the missing side of any triangle

d)

The square of the hypotenuse of a right triangle is equal to the difference of the squares of the legs

41.

What is the value of x?

a)

9 in

b)

19 in

c)

81 in

d)

none of these

42.

What is the value of x? Round to the nearest tenth.

a)

15.1 feet

b)

14.9 feet

c)

17.0 feet

d)

5.8 feet

43.

What is the value of x?

a)

24 in

b)

21 in

c)

9 in

d)

none of these

44.

What is the length of the missing leg? Round to the nearest tenth.

a)

2.0 in

b)

11.4 in

c)

5.7 in

d)

5.6 in

45.

The legs of a right triangle measure 5 and 7 inches. What is the length of the hypotenuse? Round to the nearest tenth.

a)

8.6 in

b)

8.7 in

c)

4 in

d)

4.9 in

46.

What is the approximate value of b?

a)

8.0 cm

b)

8.1 cm

c)

9.8 cm

d)

9.9 cm

47.

The two legs of a right triangle each measure 10 inches. What is the length of the hypotenuse, rounded to the nearest tenth?

a)

14.2 inches

b)

4.5 inches

c)

10.0 inches

d)

14.1 inches

48.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

49.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

50.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

51.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

52.

^{Find the missing side}

a)

11

b)

61

c)

$\sqrt{61}$

d)

$\sqrt{11}$

53.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

54.

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

55.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

56.

a² + b² = c^{2
a = 9 b = 40}

a)

c = 41

b)

c = 65

c)

c = 25

d)

c = 5

57.

a² + b² = c^{2
b = 35 c = 37}

a)

a = 12

b)

a = 11

c)

a = 18

d)

a = 14

58.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

59.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

60.

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.

a)

5

b)

7

c)

10

d)

12

61.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

62.

solve for c

a)

7

b)

9

c)

4

d)

13

63.

What is a right triangle?

a)

A triangle where all sides equal 90 degrees

b)

A triangle where every angle is 90 degrees

c)

A triangle where all three sides are equal

d)

A triangle where there is a 90 degree angle

64.

Which choice represents the legs?

a)

a and b

b)

a

c)

b

d)

c

65.

The Pythagorean Theorem is _________

a)

a + b = c

b)

a² + b² = c²

c)

a² + b² + c²

d)

A = LW

66.

If the diagonal is 40 inches, what does this mean?

a)

c = 40

b)

b = 40

c)

a = 40

d)

a² + b² = 40

67.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

68.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

69.

solve for c

a)

7

b)

9

c)

4

d)

13

70.

What is the length of the hypotenuse in the diagram?

a)

11 blocks

b)

9 blocks

c)

5 blocks

d)

10 blocks

71.

We are given one of the sides and the hypotenuse.

Find the length of the missing side length.

(Hint: distance from the wall to the bottom of the ladder)

a)

7

b)

5

c)

11

d)

25

72.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

73.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

74.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

75.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

76.

^{Find the missing side}

a)

11

b)

61

c)

$\sqrt{61}$

d)

$\sqrt{11}$

77.

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)

42 miles

c)

37 miles

d)

40 miles

78.

What is the diagonal length of the iPad?

a)

9.2 in

b)

11 in

c)

13 in

d)

9.6 in

79.

a)

hypotenuse

b)

legs

80.

a)

hypotenuse

b)

legs

81.

Find the missing side to this right triangle:

a)

13.4

b)

13.6

c)

13.8

d)

14.2

82.

Find the missing side to this right triangle:

a)

7.0

b)

7.2

c)

7.5

d)

7.9

83.

Find the missing side to this right triangle:

a)

5.0

b)

5.2

c)

5.4

d)

5.6

84.

Find the missing side to this right triangle:

a)

9.0

b)

9.3

c)

9.5

d)

9.8

85.

Find the missing side to this right triangle:

a)

10.5

b)

10.8

c)

11.0

d)

11.2

86.

Find the missing side to this right triangle:

a)

4.6

b)

4.8

c)

5.0

d)

5.3

87.

Larry attaches a wire from the top of a 26-foot flagpole and stakes it to the ground 18 feet from the base of the flagpole. To the nearest tenth of a foot, how many feet is it from the top of the flagpole to the stake?

a)

44 feet

b)

6.6 feet

c)

1,000 feet

d)

31.6 feet

88.

A 9-foot ladder is placed 4 feet from the base of a building. About how high does the ladder reach?

a)

7.9 ft

b)

8.1 ft

c)

8.4 ft

d)

8.7 ft

89.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

90.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

91.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

92.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

93.

_{^{Find the missing side}}

a)

9

b)

26.9

c)

37

d)

18.2

94.

What is the formula used to solve for the hypotenuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

95.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

96.

solve for x

a)

5552363959656.

b)

10

c)

100

d)

89

97.

solve for the value of y

a)

13

b)

5

c)

23

d)

10

98.

solve for y

a)

7

b)

6.3

c)

2.5

d)

9

99.

solve for c

a)

7

b)

9

c)

4

d)

13

100.

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

a)

Yes

b)

No

c)

Maybe

d)

Pythagoras

Pythagorean Theorem Practice

Total questions: 100

Worksheet time: 17hrs 40mins

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