WorksheetsPythagorean Theorem
Total questions: 50
Worksheet time: 1hrs 17mins
Name
Class
Date
1.
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.
2.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
3.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
4.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
5.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
6.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
7.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
8.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
9.
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
10.
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
11.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
12.
The legs form what type of angle?
a)
Acute
b)
Obtuse
c)
Reflex
d)
Right
13.
solve for c
a)
7
b)
9
c)
4
d)
13
14.
The Pythagorean Theorem is
a2 + b3 = c4
a2 + b3 = c4
a)
false
b)
true
15.
The Pythagorean Theorem is
a2 + b2 + c2
a2 + b2 + c2
a)
false
b)
true
16.
you ADD a2 and c2 then take the square root to find b on a right triangle.
a)
true
b)
false
17.
you ADD a2 and b2 then take the square root to find c on a right triangle.
a)
true
b)
false
18.
What is the formula for finding the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
19.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
20.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
21.
what is the missing length?
a)
50
b)
60
c)
70
d)
80
22.
Solve for the walkway length
a)
30
b)
40
c)
58
d)
35
23.
a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?
Is this a right triangle?
a)
yes
b)
no
24.
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
25.
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
26.
Find the value of x.
a)
7
b)
8
c)
9
d)
10
27.
Find the value of x.
a)
15
b)
16
c)
18
d)
17
28.
42 = ?
a)
9
b)
14
c)
16
d)
18
29.
92 = ?
a)
81
b)
90
c)
99
d)
72
30.
?
a)
2
b)
3
c)
9
d)
81
31.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
32.
?
a)
6
b)
7
c)
8
d)
9
33.
?
a)
11
b)
12
c)
14
d)
16
34.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
35.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
36.
Do these 3 side lengths form a right triangle?
13, 80, and 81?
13, 80, and 81?
a)
yes
b)
no
37.
a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?
c = 7.5
Is this a right triangle?
a)
yes
b)
no
38.
solve for c
a)
7
b)
9
c)
4
d)
13
39.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
40.
a2 + b2 = c2
a = 9 b = 40
a = 9 b = 40
a)
c = 41
b)
c = 65
c)
c = 25
d)
c = 5
41.
a2 + b2 = c2
b = 35 c = 37
b = 35 c = 37
a)
a = 12
b)
a = 11
c)
a = 18
d)
a = 14
42.
Solve for x.
a)
38.9
b)
40.2
c)
45.6
d)
54
43.
a)
The diagonal is 26 ft
b)
The diagonal is 31 ft
c)
The diagonal is 21.8 ft
d)
The diagonal is 20.9 ft
44.
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
45.
If a triangle has a side a=5 and b=12, what is c?
a)
10
b)
17
c)
169
d)
13
46.
What is the distance from the base of the house to the base of the ladder?
a)
25 m
b)
5 m
c)
313 m
d)
17.7 m
47.
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
48.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
49.
Find h.
a)
9
b)
14.4
c)
17.5
d)
207
50.
How high up the wall does the ladder touch?
a)
12
b)
13.9
c)
144
d)
194
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