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Pythagorean Theorem

Total questions: 56

Worksheet time: 9hrs 36mins

Name
Class
Date
1.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

2.

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

3.
Do three squares with side lengths of 6, 12, and 13 form a right triangle?
a)
Yes
b)
No
4.
If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?
a)
9
b)
40
c)
41
5.
Do the segment lengths 9, 12, and 15 form a right triangle?
a)
Yes
b)
No
6.
Do these 3 side lengths form a right triangle?
13, 80, and 81?
a)
yes
b)
no
7.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
8.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
9.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
10.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
11.

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)

13.9 feet

12.

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

a)

9 feet

b)

19.2 feet

c)

81 feet

d)

369 feet

13.

The picture below shows a ramp that Mike is building. How long does the board need to be to cover the ramp?

a)

8.5

b)

17

c)

13

d)

10.9

14.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
15.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
16.
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
17.

Will the sides 36, 85 and 77 make a right triangle?

a)

yes

b)

no

18.
Do these 3 side lengths form a right triangle?
13, 80, and 81?
a)
yes
b)
no
19.
Find the perimeter of a triangle that has legs that are 3 cm and 4 cm. 
a)
5
b)
7
c)
10
d)
12
20.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
21.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
22.
Calculate the length of Mary's trip.
a)
10 miles
b)
14 miles
c)
24 miles
d)
28 miles
23.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
24.
Find the distance  between A and B
a)
7.1
b)
7.8
c)
4.5
d)
9.2
25.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
26.
What is the value of x in the right triangle shown?
a)
16cm
b)
18cm
c)
24cm
d)
√674cm
27.
What is the value of x in the right triangle shown?
a)
16cm
b)
18cm
c)
24cm
d)
√674cm
28.
The pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
29.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
30.
The Pythagorean Theorem is
a2 + b2 + c2
a)
false
b)
true
31.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
32.
Doug and his dog Burt are deciding which way they will walk to a friend's house. How much longer is their walk if they take the blue path (L shape) than if they take the pink path (straight path)?
a)
8.06 blocks
b)
11 blocks
c)
19.06 blocks
d)
2.94 blocks
33.

Find the distance between these 2 points.

a)

5.8

b)

6.3

c)

8.1

d)

40

34.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
35.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
36.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
37.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
38.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
39.
What is the distance between the two points?
a)
4.5 units
b)
5.1 units
c)
3.2 units
d)
6.4 units
40.
What is the diagonal distance between the two points?
a)
10.2 units
b)
9.9 units
c)
9.3 units
d)
8.7 units
41.
Find the distance between the two points.
a)
2.2 units
b)
3.5 units
c)
4.1 units
d)
2.7 units
42.
Find the distance between the two points.
a)
7.6 units
b)
6.9 units
c)
8.1 units
d)
9.7 units
43.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
44.
What is the distance the spooky spider travels if it crawls up the entire diagonal inside the coffin.
a)
2 units
b)
6 units
c)
100 units
d)
32 units
45.
What is the approximate length of EC?
a)
13
b)
3.605
c)
7.81
d)
61
46.
What is the approximate length of the blue line?
a)
6.56
b)
23
c)
45
d)
3.32
47.
What is the height of the cone? 
a)
14 cm
b)
8 cm
c)
12 cm
d)
13.9 cm
48.

Kathleen's ice cream cone has a diameter of 9cm and a slant height of 7.5cm. What is the height of the ice cream cone?

a)

5cm

b)

6cm

c)

9cm

d)

12cm

49.

The square base of the pyramid has an area of 144 square feet. If the slant height of the pyramid is 10 feet, what is the height of the pyramid?

a)

7 feet

b)

8 feet

c)

16 feet

d)

144 feet

50.

An Egyptian pyramid has a square base that measures 80 meters on each side. If the height of the pyramid is 30 meters, what is the slant height of the pyramid?

a)

26 meters

b)

50 meters

c)

74 meters

d)

85 meters

51.

Find side "h" (wall height)

a)

35.60

b)

35.00

c)

35.71

d)

61.03

52.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
53.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
54.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

55.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

56.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse

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