Free Printable Pythagorean Theorem Practice

1.

The Pythagorean Theorem is
a² + b²+ c²

a)

false

b)

true

2.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

3.

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

a)

true

b)

false

4.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

5.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

6.

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

a)

true

b)

false

7.

what is the formula for finding the hypotnuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

8.

4² = ?

a)

9

b)

14

c)

16

d)

18

9.

9² = ?

a)

81

b)

90

c)

99

d)

72

10.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

11.

The legs form what type of angle?

a)

Acute

b)

Obtuse

c)

Reflex

d)

Right

12.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

13.

?

a)

6

b)

7

c)

8

d)

9

14.

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

15.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

16.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

17.

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

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

18.

In a right triangle __________is ALWAYS the longest side.

a)

a leg

b)

a hypotenuse

19.

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

20.

Find the missing side. (Calculators are allowed)

a)

9

b)

41

c)

6.4

d)

3

21.

what is the formula for finding the hypotnuse?

a)

a²+ b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c²-a²=b

22.

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

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

23.

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

24.

Find the missing side. (Calculators are allowed)

a)

48

b)

108

c)

83.6

d)

72

25.

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

a)

Yes

b)

No

26.

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

27.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

28.

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

a)

square

b)

arm

c)

leg

d)

hypotenuse

29.

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

a)

yes

b)

no

30.

_{^{Find the missing side}}

a)

9

b)

26.9

c)

37

d)

18.2

31.

_{^{Find the missing side}}

a)

37

b)

17.66

c)

6

d)

312

32.

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

a)

5

b)

7

c)

10

d)

12

33.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

34.

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

a)

14

b)

10

c)

5.3

d)

2

35.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

36.

side a on a right triangle is ALWAYS the longest side

a)

true

b)

false

37.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

38.

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

39.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

40.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

41.

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.

42.

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

43.

Find the value of "c"

a)

c = 8

b)

c = 10

c)

c = √52

d)

c = √20

44.

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

a)

3

b)

4

c)

5

d)

8

45.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.5 feet

c)

13 feet

d)

11.6 feet

46.

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

47.

List in order from greatest to least.
56%, $\frac{\sqrt{3}}{5},$ $\frac{\pi}{10},$ 1.07

a)

56%, 1.07, $\frac{\sqrt{3}}{5}$ $\frac{\pi}{10}$

b)

56%, $\frac{\pi}{10}\$ , 1.07 ,

c)

$\frac{\pi}{10}$ , $\frac{\sqrt{3}}{5}$ 56%, 1.07

d)

1.07, 56%, $\frac{\sqrt{3}}{5},$ $\frac{\pi}{10}$

48.

Using the Pythagorean Theorem, find the area of the missing square (seen in picture)

a)

75 cm²

b)

105 cm²

c)

135 cm²

d)

30 cm²

49.

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.

50.

Point B could represent which of the following numbers?

a)

√24

b)

√30

c)

√35

d)

√42

51.

If a triangle has a hypotenuse with a length of 12 cm and a leg with a length of 10 cm, how long is the other leg rounded to the nearest tenth?

a)

22.2 cm

b)

6.6 cm

c)

2.4 cm

52.

Paula completely covered a square wall using 87.5ft ²of wallpaper without any overlap. Which measurement is closest to the side length of this wall in feet?

a)

22 ft

b)

44 ft

c)

9 ft

d)

7 ft

53.

a)

The diagonal is 26 ft

b)

The diagonal is 31 ft

c)

The diagonal is 21.8 ft

d)

The diagonal is 20.9 ft

54.

a)

20 cm

b)

400 cm

c)

10 cm

d)

29.2 cm

55.

a)

A.

b)

B.

c)

C.

56.

a)

A.

b)

B.

c)

C.

d)

D.

57.

The Pythagorean Theorem is
a² + b²+ c²

a)

false

b)

true

58.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

59.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

60.

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

a)

Yes

b)

No

61.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

62.

a² + b² = c^{2
a = 9 b = 40}

a)

c = 41

b)

c = 65

c)

c = 25

d)

c = 5

63.

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

a)

10

b)

17

c)

169

d)

13

64.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

65.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

66.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

67.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

68.

a² + b² = c^{2
b = 35 c = 37}

a)

a = 12

b)

a = 11

c)

a = 18

d)

a = 14

69.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

70.

What is the formula for Pythagorean Theorem?

a)

a^2+b^2=c^2

b)

b-a=c

c)

c^2+b^2=a^2

d)

a+b=c

71.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

72.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

73.

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

74.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

75.

^{Find the length of the missing side}

a)

48

b)

108

c)

83.6

d)

72

76.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

77.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

78.

What is the diagonal length of the iPad?

a)

9.2 in

b)

11 in

c)

13 in

d)

9.6 in

79.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

6.2

80.

solve for c

a)

7

b)

9

c)

4

d)

13

81.

Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. What is the length of the diagonal, in yards, that Tanya runs?

a)

26.5 yards

b)

10 yards

c)

50 yards

d)

46.7 yards

82.

Which equation is modeled by the picture shown?

a)

3²+5²=4²

b)

3²+4²=5²

c)

5²+4²=3²

d)

9²+16²=25²

83.

Solve for the walkway length

a)

30

b)

40

c)

58

d)

35

84.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

85.

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

86.

This is the longest side of a right triangle

a)

hypotenuse

b)

leg

c)

Pythagorean theorem

d)

Right triangle

87.

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

88.

Find the triangle similar to △ABC

a)

b)

c)

d)

89.

What is the scale factor from the small shape to the big shape?

a)

1/2

b)

7/3

c)

2

d)

10/3

90.

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

a)

5

b)

7

c)

10

d)

12

91.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

92.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

93.

Solve for the walkway length

a)

30

b)

40

c)

58

d)

35

94.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

95.

Find the distance from P to Q

a)

4

b)

5

c)

6

96.

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

97.

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

98.

Find the distance between these two points.

a)

13

b)

7.9

c)

9.2

d)

3.6

99.

Find the midpoint of the segment with the endpoints: (-4, 5) and (7, -9)

a)

(-1.5, 2)

b)

(5.5, -7)

c)

(-2, 1.5)

d)

(1.5, -2)

100.

Find the midpoint of the segment with the endpoints:(-7, -13) and (-11, -5)

a)

(-9, -9)

b)

(-3, -4)

c)

(-3, 4)

d)

(-4, -3)

101.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

102.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

103.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

104.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

105.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

106.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

107.

_{^{Find the missing side}}

a)

√29.2

b)

√400

c)

√20

d)

√10

108.

Sides a and b are called legs.

a)

true

b)

false

109.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

110.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

111.

Name the longest side of a right triangle.

a)

leg a

b)

leg b

c)

leg

d)

hypotenuse

112.

solve for c

a)

7

b)

9

c)

4

d)

13

Pythagorean Theorem Practice

Total questions: 112

Worksheet time: 10hrs 3mins

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