Free Printable C13c Math Converse Pythagoras ' Theorem

1.

Calculate

a)

5

b)

4.5

c)

8

d)

10

2.

Calculate

a)

8

b)

3.5

c)

6.7

d)

7

3.

Calculate

a)

8.6

b)

8.9

c)

9

d)

12

4.

Calculate

a)

4

b)

8

c)

7.6

d)

8.6

5.

Calculate

a)

13.5

b)

12

c)

14.3

d)

11

6.

Calculate

a)

10

b)

10.6

c)

10.4

d)

9.3

7.

a)

11

b)

12

c)

9.8

d)

11.5

8.

Calculate

a)

8.3

b)

4

c)

3

d)

3.2

9.

a)

11

b)

12

c)

9.8

d)

11.5

10.

a)

36.1

b)

36

c)

38.5

d)

32.1

11.

Calculate

a)

5

b)

6

c)

5.5

d)

8

12.

Calculate

a)

6.5

b)

8

c)

3

d)

4

13.

Calculate

a)

6

b)

6.3

c)

7.8

d)

9

14.

Calculate

a)

8.7

b)

12.3

c)

8.2

d)

9

15.

Calculate

a)

9

b)

7.8

c)

6

d)

6.7

16.

Calculate

a)

9.8

b)

5.4

c)

7.8

d)

10.4

17.

Calculate

a)

2

b)

4

c)

2.6

d)

6.7

18.

Calculate

a)

4.5

b)

6

c)

9.8

d)

4.9

19.

Calculate

a)

4.5

b)

6

c)

9.8

d)

4.9

20.

Calculate

a)

18.7

b)

18

c)

22

d)

17.6

21.

Calculate

a)

29.2

b)

14.2

c)

30

d)

32.2

22.

determine the triangle is right angled triangle

a)

yes

b)

no

23.

determine the triangle is right angled triangle

a)

yes

b)

no

24.

determine the triangle is right angled triangle

a)

yes

b)

no

25.

An electrical pole with a height of 6 m is supported by a wire that is pulled tight from the top of the pole to the ground at a distance of 5 m away the pole as shown in the diagram . The length of the wire is 9 m. is the eletrical pole perpendicular to the ground?

a)

yes

b)

no

26.

The diagram shows two triangles, PQR and PRS. Determine whether triangle PRS is a right-angled triangle.

a)

yes

b)

no

27.

Which of the following relationships shows that triangle PQR is right-angled triangle?

a)

$26^2>10^2+24^2$

b)

$26^2=10^2+24^2$

c)

$26^2+10^2>24^2$

d)

$26^2<10^2+24^2$

28.

determine whether triangle with the given sides is a right-angled triangle or not

5 cm, 7 cm, 9 cm

a)

yes

b)

no

29.

determine whether triangle with the given sides is a right-angled triangle or not

15 cm, 20 cm, 25 cm

a)

yes

b)

no

30.

The diagram above shows a square ABCD. CDE is a straight line. The area of ABCD is 36 $cm2$ . Calculate the perimeter of the whole diagram.

(a)

31.

In the diagram, PQRT is a rectangle with the perimeter 64 cm. determine whether triangle RST is a right-angled triangle or not?

(a)

32.

In the diagram, PQRT is a rectangle with the perimeter 64 cm. determine whether triangle RST is a right-angled triangle or not?

(a)

33.

Identify the hypotenuse.

a)

x

b)

z

c)

w

34.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

35.

Find the length of b in this triangle.

a)

31

b)

36

c)

60

d)

62

36.

Find x.

a)

35

b)

20

c)

8

d)

12

37.

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

a)

4.1cm

b)

2.4cm

c)

2.5cm

d)

4.2cm

38.

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

a)

32.1

b)

32.10

c)

54.75

d)

47.2

39.

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

40.

PQ is the base of a right angled triangle... RQ is the height of the right angled triangle... Then, determine the hypotenuse of the right angled triangle.

a)

PQR

b)

RQP

c)

QP

d)

PR

41.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

42.

Is this triangle a right triangle?

a)

yes

b)

no

43.

If a man is 6 ft. tall and he casts a shadow that is 3 ft. long, what is the distance from the top of the man's head to the end of his shadow.?

a)

9 feet

b)

6 feet

c)

6.7 feet

d)

9.7 feet

44.

Round to the nearest hundredth.

a)

5.57

b)

10.63

c)

5.32

d)

9

45.

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

46.

What is the formula for Pythagorean theorem?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

47.

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

a)

yes

b)

no

48.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

49.

If three sides of a right triangle are 50, 40, and 30, which side is the hypotenuse?

a)

50

b)

40

c)

30

50.

If three sides of a right triangle are 5, 3, and 4, which side is the hypotenuse?

a)

5

b)

3

c)

4

51.

If three sides of a right triangle are 12, 13, and 5, which side is the hypotenuse?

a)

12

b)

13

c)

5

52.

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

a)

yes

b)

no

53.

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?

a)

yes

b)

no

54.

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

a)

Yes

b)

No

55.

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

a)

9

b)

40

c)

41

56.

Can side lengths 3, 4, and 5 form a right triangle?

a)

yes

b)

no

57.

Is this triangle a right triangle?

a)

yes

b)

no

58.

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

a)

yes

b)

no

59.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

60.

Do the side lengths 9, 12, and 17 make a right triangle?

a)

Yes

b)

No

61.

What is the distance between the two points?

a)

12.64

b)

16.52

c)

12

d)

16

62.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

63.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

64.

If the legs of a right triangle are 10 and 24, then the hypotenuse is __________.

a)

21

b)

19

c)

26

d)

30

65.

Which set of side lengths does not form a right triangle?

a)

38, 80, 90

b)

16, 63, 65

c)

36, 77, 85

d)

14, 15, 29

66.

Which set of side lengths form a right triangle?

a)

3, 4, 7

b)

33, 56, 65

c)

66, 72, 97

d)

10, 15, 25

67.

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

a)

yes

b)

no

68.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

69.

What are the 2 shorter sides of a right triangle called?

a)

Hypotenuse

b)

Pythagorean Theorem

c)

Legs

d)

Right triangle

C13c Math Converse Pythagoras ' Theorem

Total questions: 69

Worksheet time: 2hrs 10mins

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