Free Printable Pythagorean Theorem

1.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

2.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

3.

Which side is the hypotenuse?

a)

9

b)

x

c)

14

4.

Which sides are the legs of the triangle?

a)

9 and 15

b)

9 and 12

c)

12 and 15

d)

15

5.

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

6.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

7.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

8.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

9.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

10.

solve for c

a)

7

b)

9

c)

4

d)

13

11.

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

a)

44.1 km

b)

59 km

c)

47.8 km

d)

33 km

12.

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

a)

180 feet

b)

90 feet

c)

13.4 feet

d)

127.3 feet

13.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

14.

How do you feel about applying and using the Pythagorean theorem?

a)

I am lost

b)

I think I get it

c)

I got it

d)

EASY PEASY

15.

How long is the hypotenuse of this triangle?

(a)

16.

Is this a right triangle?

a)

Yes

b)

No

17.

Is this a right triangle?

a)

Yes

b)

No

18.

Is this a right triangle?

a)

Yes

b)

No

19.

Is a triangle with side lengths of 12, 9, and 15 a right triangle?

a)

Yes

b)

No

20.

Is a triangle with side lengths of 7, 4, and 4 a right triangle?

a)

Yes

b)

No

21.

Find the missing side.

a)

18

b)

16

c)

17

d)

19

22.

Find the missing side.

a)

11

b)

12

c)

13

d)

14

23.

A triangle has legs that are 7 inches and 24 inches long. How long is the hypotenuse?

a)

23

b)

26

c)

28

d)

25

24.

The Pythagorean Theorem is (a) (b) (c) (d) (e)

Choose from the below words

$a^2$

$+$

$b^2$

$=$

$c^2$

$x^2$

$-$

$\times$

$\div$

25.

What letter represents the hypotenuse?

a)

a

b)

b

c)

a and b

d)

c

26.

Hypotenuse

a)

Vertical side in a right triangle

b)

Longest side in a right triangle

c)

Horizontal side in a right triangle

d)

a²+ b²= c²

27.

Which choice represents the legs?

a)

a and b

b)

a

c)

b

d)

c

28.

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

a)

Divide both sides by 2

b)

Take the square root of both sides

29.

The Pythagorean Theorem is

a² - b² = c²

a)

false

b)

true

30.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

31.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

32.

Side a on a right triangle is ALWAYS the longest side

a)

true

b)

false

33.

If you are solving to find a missing leg, should you add or subtract?

a)

Add

b)

Subtract

34.

If you are solving to find a missing hypotenuse, should you add or subtract?

a)

Add

b)

Subtract

35.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

36.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

37.

Find the distance between these two points.

a)

13

b)

7.9

c)

9.2

d)

3.6

38.

Draw a right triangle and label the sides using: Leg, Leg, Hypotenuse

39.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

40.

What side(s) will always be the longest on a right triangle?

a)

The Hypotenuse

b)

Leg A

c)

Leg B

d)

The Right Angle

41.

What side(s) will always be the shortest on a right triangle?

Select all that apply

a)

The Hypotenuse

b)

Leg A

c)

Leg B

d)

The Right Angle

42.

The legs form what type of angle?

a)

Acute

b)

Obtuse

c)

Reflex

d)

Right

43.

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

Hint: Think about when the hypotenuse is missing!

a)

a + b = c

b)

a² + b² = c²

c)

a² – b² = c²

d)

a – b = c

44.

Do three squares with side lengths of 6, 12, and 13 form a right triangle?

a)

Yes

b)

No

45.

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

a)

9

b)

40

c)

41

46.

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

a)

Yes

b)

No

47.

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

a)

yes

b)

no

48.

If the sides of a triangle are 7, 24, and 25, is it a right triangle?

a)

yes

b)

no

49.

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

a)

yes

b)

no

50.

Isabella has sticks that are 10cm, 11cm, and 13cm long. Can she place the sticks together to form a right triangle? Justify your answer.

a)

No, because 10+11 does not equal 13

b)

No, because 100+121 does not equal 169

c)

Yes, because there is a small side, medium side and long side

d)

Yes, because a triangle has 3 sides

51.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

52.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

53.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

54.

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

a)

yes

b)

no

55.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

56.

solve for x

a)

5552363959656.

b)

10

c)

100

d)

89

57.

solve for the value of y

a)

13

b)

5

c)

23

d)

10

58.

solve for y

a)

7

b)

6.3

c)

2.5

d)

9

59.

solve for c

a)

7

b)

9

c)

4

d)

13

60.

An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?

a)

65 miles

b)

89 miles

c)

45.4 miles

d)

We don't have enough information.

61.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

62.

_{^{Find the missing side}}

a)

9

b)

26.9

c)

37

d)

18.2

63.

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

64.

solve for the value of y

a)

13

b)

5

c)

23

d)

10

65.

The diagonal of a rectangle is 25 in. The width is 15 in. What is the length of the rectangle?

a)

20 inches

b)

29.2 inches

c)

400 inches

d)

625 inches

66.

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

a)

Yes

b)

No

67.

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)

Not enough information

68.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

69.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

70.

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

71.

What is the length of the rectangular plot of land?

a)

192 ft

b)

409.8 ft

c)

36,864 ft

d)

8 ft

72.

Find the distance between P and Q.

a)

5 units

b)

4 units

c)

2.6 units

d)

3 units

73.

Find the distance between P and R.

a)

9.2 units

b)

3.6 units

c)

85 units

d)

13 units

74.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

75.

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

76.

What is the area of the third square?

a)

6.7 cm²

b)

33.5 cm²

c)

2025 cm²

d)

45 cm²

77.

What is the length of the hypotenuse?

a)

33.5 cm

b)

45 cm

c)

6.7 cm

d)

15 cm

78.

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

79.

If the area of the blue square is 25 in² and the area of the green square is 169 in², what is the area of the yellow square?

a)

12 in²

b)

144 in²

c)

194 in²

d)

13.9 in²

80.

Find the direct distance between the court house and the town hall.

a)

26

b)

6.8

c)

10

d)

7.2 km

Pythagorean Theorem

Total questions: 80

Worksheet time: 4hrs 37mins

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