Free Printable pythagoras theorem

1.

Calculate

a)

5

b)

4.5

c)

8

d)

10

2.

a)

11

b)

12

c)

9.8

d)

11.5

3.

Calculate

a)

5

b)

6

c)

5.5

d)

8

4.

Calculate

a)

6.5

b)

8

c)

3

d)

4

5.

What is the formula used to solve for the hypotenuse?

a)

a²+b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c-a=c

6.

Identify the hypotenuse.

a)

x

b)

z

c)

w

7.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

8.

What is the length of x?

a)

5.7

b)

10.6

c)

20

d)

400

9.

solve for c

a)

7

b)

9

c)

4

d)

13

10.

Find the length of b in this triangle.

a)

31

b)

36

c)

60

d)

62

11.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

12.

Find x.

a)

35

b)

20

c)

8

d)

12

13.

a)

11

b)

12

c)

9.8

d)

11.5

14.

Calculate

a)

5

b)

6

c)

5.5

d)

8

15.

Calculate

a)

6.5

b)

8

c)

3

d)

4

16.

The hypotenuse in this image is

a)

a

b)

b

c)

c

17.

What is the formula used to solve for 'a²'?

a)

b² + c²= a²

b)

b² - c² = a²

c)

c² - b² = a²

d)

c-b=a²

18.

The hypotenuse is always.............

a)

The right angle side

b)

The shortest side

c)

The longest side

d)

On the outside

19.

What is the relation between the three sides of the right-angled triangle in the figure?

a)

$x^2+y^2=z^2$

b)

$x^2+z^2=y^2$

c)

$y^2+z^2=x^2$

d)

$x+z=y$

20.

In a right angled triangle, the perpendicular segment to the hypotenuse from the opposite vertex, is the geometric mean of the

a)

perpendicular and the Base of the triangle

b)

two sides of the triangle

c)

segments into which the hypotenuse is divided.

d)

two sides and the perpendicular

21.

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

22.

If a man goes 15 m due north and then 8 m due east, then his distance from the starting point is :

a)

7 m

b)

17 m

c)

23 m

d)

120 m

23.

In a computer catalog, a computer monitor is listed as being 27 cm. This distance is the diagonal distance across the screen. If the screen measures 15 cm in height, what is the actual width of the screen to the nearest inch?

a)

22 cm

b)

23 cm

c)

24 cm

d)

25 cm

24.

$In\ a\ right\ angled\ \Delta$ , if the lengths of the sides containing the right angle are 20 cm and 21 cm, then the length of its hypotenuse is :

a)

24 cm

b)

25 cm

c)

26 cm

d)

29 cm

25.

If the sides of a rectangular plot are 40 m and 9 m, then the length of its diagonal is :

a)

31 m

b)

41 m

c)

45 m

d)

49 m

26.

If a man goes 15 m due north and then 8 m due east, then his distance from the starting point is :

a)

7 m

b)

17 m

c)

23 m

d)

120 m

27.

$In\ a\ right\ angled\ \Delta$ , if hypotenuse is 10 cm and the ratio of the other two sides is 3 : 4, then these sides are :

a)

6 cm and 8 cm

b)

9 cm and 12 cm

c)

3 cm and 4 cm

d)

9 cm and 16 cm

28.

A ladder 20 m long rests against a vertical wall. If the foot of the ladder is 12 m away from the base of the wall, the height of the point on the wall where the top of the ladder reaches is :

a)

8 m

b)

10 m

c)

16 m

d)

32 m

29.

In a rhombus, if the lengths of the diagonals are 10 cm and 24 cm, the length of the side of the rhombus is :

a)

5 cm

b)

12 cm

c)

13 cm

d)

17 cm

30.

Two poles of heights 6 m and 13 m stand vertically on a plane ground. If the distance between their feet is 24 m, the distance between their tops is :

a)

25 m

b)

13 m

c)

31 m

d)

19 m

31.

Identify the hypotenuse.

a)

x

b)

z

c)

w

32.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

33.

What is the length of x?

a)

5.7

b)

10.6

c)

20

d)

400

34.

solve for c

a)

7

b)

9

c)

4

d)

13

35.

a)

11

b)

12

c)

9.8

d)

11.5

36.

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

a)

32.1

b)

32.10

c)

54.75

d)

47.2

37.

A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall. What is the height of the wall?

a)

2 cm

b)

8 m

c)

2 m

d)

5 m

38.

Is this triangle a right triangle?

a)

yes

b)

no

39.

Find the missing side of this right angled triangle...

a)

16.1cm

b)

11.4cm

c)

16.2cm

d)

11.5cm

40.

Find the value of the missing side...

a)

16.1cm

b)

13.8cm

c)

13.7cm

d)

16.2cm

41.

Find the value of the missing side...

a)

5.4cm

b)

5.5cm

c)

11cm

d)

11.1cm

42.

Which of the following is a right-angled

triangle?

a)

b)

c)

d)

43.

What's the hypotenuse?

a)

9

b)

10.2

c)

5

44.

Calculate the length of b in this triangle.

a)

31

b)

36

c)

60

d)

62

45.

Determine the value of x.

a)

35

b)

20

c)

8

d)

12

46.

Find the missing side of this right angled triangle...

a)

4.1cm

b)

2.4cm

c)

2.5cm

d)

4.2cm

47.

a)

121.5km

b)

11km

c)

26.5km

d)

4.8km

48.

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

a)

12.4cm

b)

11.6cm

c)

3.9cm

49.

Calculate the perimeter of the triangle

a)

15.5cm

b)

17cm

c)

34.5cm

d)

40cm

50.

Find the length of x

a)

7.9cm

b)

4.8cm

c)

4.3cm

d)

3.8cm

pythagoras theorem

Total questions: 50

Worksheet time: 1hrs 2mins

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