Free Printable Pythagoras Theorem

1.

Identify the hypotenuse.

a)

x

b)

z

c)

w

2.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

3.

What is the length of x?

a)

5.7

b)

10.6

c)

20

d)

400

4.

solve for c

a)

7

b)

9

c)

4

d)

13

5.

a)

11

b)

12

c)

9.8

d)

11.5

6.

Is this triangle a right triangle?

a)

yes

b)

no

7.

What's the hypotenuse?

a)

9

b)

10.2

c)

5

8.

Calculate the length of b in this triangle.

a)

31

b)

36

c)

60

d)

62

9.

Determine the value of x.

a)

35

b)

20

c)

8

d)

12

10.

What type of triangles can we apply the Pythagorean theorem to?

a)

Equilateral

b)

Isosceles

c)

Equiangular

d)

Right

11.

The longest side of a triangle is called the _____.

a)

hypotenuse

b)

hippotenuss

c)

henry

d)

longsidenuse

12.

A right triangle has 2 shorter sides of 3 cm and 4 cm. How long is the hypotenuse?

a)

4 cm

b)

5 cm

c)

7 cm

d)

25 cm

13.

Is this triangle a right angled triangle?

a)

YES

b)

NO

c)

There is not enough information to work it out.

d)

Only on Tuesdays when the moon is full.

14.

Is this a right triangle?

a)

YES

b)

NO

c)

There is not enough information given.

d)

If your Mum says it is.

15.

Calculate

a)

5

b)

4.5

c)

8

d)

10

16.

Calculate

a)

8

b)

3.5

c)

6.7

d)

7

17.

Calculate

a)

4

b)

8

c)

7.6

d)

8.6

18.

Calculate

a)

8.6

b)

8.9

c)

9

d)

12

19.

Calculate

a)

8.3

b)

4

c)

3

d)

3.2

20.

Calculate

a)

2

b)

4

c)

2.6

d)

6.7

21.

Calculate

a)

9

b)

7.8

c)

6

d)

6.7

22.

Calculate

a)

8.7

b)

12.3

c)

8.2

d)

9

23.

Calculate

a)

6

b)

6.3

c)

7.8

d)

9

24.

Calculate

a)

6.5

b)

8

c)

3

d)

4

25.

a)

11

b)

12

c)

9.8

d)

11.5

26.

What is the length of x?

a)

5.7

b)

10.6

c)

20

d)

400

27.

solve for c

a)

7

b)

9

c)

4

d)

13

28.

Find the length of b in this triangle.

a)

31

b)

36

c)

60

d)

62

29.

a)

36.1

b)

36

c)

38.5

d)

32.1

30.

To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

a)

35

b)

22

c)

58

d)

75

31.

Find the length of x. Round your answer to 1dp

a)

12.4cm

b)

11.6cm

c)

3.9cm

32.

What is the length of the monitor diagonally in two decimal places ?

a)

30.1

b)

32.10

c)

54.75

d)

47.2

33.

Is 10, 24, and 13 a Pythagorean triple?

a)

yes

b)

no

c)

cannot tell

34.

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

a)

Yes

b)

No

35.

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

a)

Yes

b)

No

36.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

37.

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

38.

Why is it not possible to make a right triangle using lengths of 10 feet, 60 feet, and 65 feet?

a)

10 + 60 is greater than 65

b)

65 - 60 does not equal 10

c)

10² + 60² does not equal 65²

d)

(10 + 60)²does not equal 65²

39.

Does the set of numbers represent a Pythagorean Triple.
4, 5, 6

a)

Yes

b)

No

40.

Does the set of numbers represent a Pythagorean Triple.
10, 24, 26

a)

Yes

b)

No

41.

What is the hypotenuse if two sides are 6 and 8?

a)

10

b)

12

c)

13

d)

not enough information

42.

If 36 and 48 are the two smaller numbers in a Pythagorean Triple, what is the third number?

a)

45

b)

50

c)

55

d)

60

43.

solve for c

a)

7

b)

9

c)

4

d)

13

44.

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

a)

Yes

b)

No

45.

If one leg of a Right triangle is 15 and the Hypotenuse is 17, what is the length of the other leg?

a)

5

b)

6

c)

7

d)

8

46.

If one leg of a Right triangle is 12 and the Hypotenuse is 20, what is the length of the other leg?

a)

13

b)

14

c)

15

d)

16

e)

18

47.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

48.

Which is a Pythagorean Triple?

a)

4,4,8

b)

6,8,10

c)

1,2,3

d)

10,15,25

49.

Which is a Pythagorean Triple?

a)

3,4,5

b)

3.4,4.5,6.7

c)

12,13,14

d)

5,10,12

50.

Which is a Pythagorean Triple?

a)

1,1,1

b)

7,14,16

c)

12,13,16

d)

5,12,13

51.

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

52.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

53.

Which is a Pythagorean Triple?

a)

3,8,11

b)

7,14,15

c)

8,15,17

d)

4.5,12,13

54.

Which is NOT a Pythagorean Triple?

a)

3,4,5

b)

6,8,10

c)

12,14,16

d)

9,12,15

55.

Find the value of x.

a)

15

b)

16

c)

18

d)

17

56.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

57.

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

58.

Find the value of x.

a)

36

b)

12

c)

16

d)

25

59.

Does the set of numbers represent a Pythagorean Triple.
15, 20, 25

a)

Yes

b)

No

60.

Does the set of numbers represent a Pythagorean Triple.
10, 24, 26

a)

Yes

b)

No

Pythagoras Theorem

Total questions: 60

Worksheet time: 3hrs 41mins

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