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WorksheetsPythagorean Theorem
Total questions: 30
Worksheet time: 8hrs 30mins
Name
Class
Date
1.
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
2.
a2 + b2 = c2
a = 9 b = 40
a = 9 b = 40
a)
c = 41
b)
c = 65
c)
c = 25
d)
c = 5
3.
a2 + b2 = c2
b = 35 c = 37
b = 35 c = 37
a)
a = 12
b)
a = 11
c)
a = 18
d)
a = 14
4.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
5.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
6.
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
7.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
8.
Level 1
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
9.
Level 3
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
10.
Level 2
Solve for the value of y
a)
13
b)
5
c)
23
d)
10
11.
Level 4
Solve for x.
a)
38.9
b)
40.2
c)
45.6
d)
54
12.
In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?
a)
172+82=b2
b)
82+b2=172
c)
172+b2=82
d)
b282=100172
13.
Find the missing side
a)
11
b)
61
c)
61
d)
11
14.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
15.
Sides a and b are called legs.
a)
true
b)
false
16.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
17.
Determine if the following set of numbers are Pythagorean Triples.
15, 20, 25
15, 20, 25
a)
Yes
b)
No
18.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
4, 5, 6
a)
Yes
b)
No
19.
solve for c
a)
7
b)
9
c)
4
d)
13
20.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
21.
Find the value of x.
a)
36
b)
12
c)
16
d)
25
22.
Does the set of numbers represent a Pythagorean Triple.
4, 5, 6
4, 5, 6
a)
Yes
b)
No
23.
Does the set of numbers represent a Pythagorean Triple.
10, 24, 26
10, 24, 26
a)
Yes
b)
No
24.
Does the set of numbers represent a Pythagorean Triple.
15, 20, 25
15, 20, 25
a)
Yes
b)
No
25.
Why is it not possible to make a right triangle using lengths of 10 feet, 60 feet, and 65 feet?
a)
10 + 60 is greater than 65
b)
65 - 60 does not equal 10
c)
102 + 602 does not equal 652
d)
(10 + 60)2 does not equal 652
26.
Find the missing side
a)
12
b)
8
c)
17
d)
19
27.
Find the missing side
a)
21
b)
51
c)
32
d)
47
28.
Which is a Pythagorean Triple?
a)
3,4,5
b)
3.4,4.5,6.7
c)
12,13,14
d)
5,10,12
29.
Which is a Pythagorean Triple?
a)
1,1,1
b)
7,14,16
c)
12,13,16
d)
5,12,13
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
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