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WorksheetsPythagorean Theorem
Total questions: 73
Worksheet time: 10hrs 52mins
Name
Class
Date
1.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
2.
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
3.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
4.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
5.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
6.
The legs form what type of angle?
a)
Acute
b)
Obtuse
c)
Reflex
d)
Right
7.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
8.
What is the formula for finding the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
9.
Solve for the walkway length
a)
30
b)
40
c)
58
d)
35
10.
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)
15.7
e)
None of them
11.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
12.
Which of the following sentences would belong in the proof that describes this image?
a)
The sum of the areas of the two smaller squares is equal to the area of the large square.
b)
The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
c)
The difference of the areas of the two smaller squares is equal to the area of the large square.
d)
The differences of the side lengths of the two smaller squares is equal to the side length of the large square.
13.
Challenge! Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.
a)
5
b)
7
c)
10
d)
12
14.
To use the Pythagorean Theorem, the triangle MUST be what kind of triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
15.
Find the value of x.
a)
7
b)
8
c)
9
d)
10
16.
Two joggers run 8 miles north and then 5 miles west. What is the shortest distance back to their starting point to the nearest tenth of a mile?
a)
13
b)
9.4
c)
6.2
d)
9
17.
Find the distance between these 2 points.
a)
5.8
b)
6.3
c)
8.1
d)
40
18.
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
19.
What is the hypotenuse of a right triangle if the two legs measure 4 in and 5 in?
a)
√⁴¹
b)
3
c)
2√3
d)
2√41
20.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
21.
The Pythagorean Theorem is
c2 = a2 - b2
c2 = a2 - b2
a)
false
b)
true
22.
Sides a and b are called legs.
a)
true
b)
false
23.
Side c on a right triangle is ALWAYS the longest.
a)
true
b)
false
24.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
25.
Does the set of numbers represent a right triangle?
20, 25, 15
a)
Yes
b)
No
26.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
27.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
28.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
29.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
30.
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
31.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
32.
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
33.
Does the set of numbers represent a right triangle?
20, 25, 15
a)
Yes
b)
No
34.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
35.
a)
7 ft
b)
5 ft
c)
3 ft
d)
2 ft
36.
What is the length of the missing side? *NOTE: side lengths of 10 and 12.
a)
15.6
b)
6.6
c)
44
d)
16
37.
What is the height of the cone?
a)
14 cm
b)
8 cm
c)
12 cm
d)
13.9 cm
38.
if a = 3 feet, b = 8 feet, and c = 6 feet, what is the length of d rounded to the nearest hundredth of a foot?
a)
8.54 feet
b)
10.44 feet
c)
10 feet
d)
4.12 feet
39.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
40.
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
41.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
42.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
43.
The Pythagorean Theorem is
a2 + b3 = c4
a2 + b3 = c4
a)
false
b)
true
44.
you ADD a2 and c2 then take the square root to find b on a right triangle.
a)
true
b)
false
45.
you ADD a2 and b2 then take the square root to find c on a right triangle.
a)
true
b)
false
46.
Side a on a right triangle is ALWAYS the longest side.
a)
true
b)
false
47.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
48.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
49.
a)
The top of the ladder is 8.9 ft from the ground
b)
The top of the ladder is 9.2 ft from the ground
c)
The top of the ladder is 16.5 ft from the ground
d)
The top o the ladder is 14.4 ft from the ground
50.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
a)
210 m
b)
180 m
c)
150 m
d)
79 m
51.
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
52.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
53.
Find the missing side
a)
√29.2
b)
√400
c)
√20
d)
√10
54.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
55.
a)
7 ft
b)
5 ft
c)
3 ft
d)
2 ft
56.
What is the length of the missing side? *NOTE: side lengths of 10 and 12.
a)
15.6
b)
6.6
c)
44
d)
16
57.
What is the height of the cone?
a)
14 cm
b)
8 cm
c)
12 cm
d)
13.9 cm
58.
if a = 3 feet, b = 8 feet, and c = 6 feet, what is the length of d rounded to the nearest hundredth of a foot?
a)
8.54 feet
b)
10.44 feet
c)
10 feet
d)
4.12 feet
59.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
60.
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
61.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
62.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
63.
The Pythagorean Theorem is
a2 + b3 = c4
a2 + b3 = c4
a)
false
b)
true
64.
you ADD a2 and c2 then take the square root to find b on a right triangle.
a)
true
b)
false
65.
you ADD a2 and b2 then take the square root to find c on a right triangle.
a)
true
b)
false
66.
Side a on a right triangle is ALWAYS the longest side.
a)
true
b)
false
67.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
68.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
69.
a)
The top of the ladder is 8.9 ft from the ground
b)
The top of the ladder is 9.2 ft from the ground
c)
The top of the ladder is 16.5 ft from the ground
d)
The top o the ladder is 14.4 ft from the ground
70.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
a)
210 m
b)
180 m
c)
150 m
d)
79 m
71.
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
72.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
73.
Find the missing side
a)
√29.2
b)
√400
c)
√20
d)
√10
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