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WorksheetsFind Missing Side by Pythagorean Theorem
Total questions: 73
Worksheet time: 2hrs 10mins
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.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
3.
Which of the following is a 3, 4, 5 Pythagorean triple?
a)
8, 12, 15
b)
100, 200, 300
c)
30, 40, 50
d)
36, 48, 50
4.
25, 60, 65 is reduces to which Pythagorean triple?
a)
3, 4, 5
b)
5, 12, 13
c)
8, 15, 17
d)
7, 24, 25
5.
Find the value of x.
a)
7
b)
8
c)
9
d)
10
6.
Find the value of x.
a)
36
b)
12
c)
16
d)
25
7.
Find the value of x.
a)
15
b)
16
c)
18
d)
17
8.
Does the set of numbers represent a Pythagorean Triple.
4, 5, 6
4, 5, 6
a)
Yes
b)
No
9.
Does the set of numbers represent a Pythagorean Triple.
10, 24, 26
10, 24, 26
a)
Yes
b)
No
10.
Do the segment lengths 9, 12, and 15 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
11.
What is the hypotenuse if two sides are 6 and 8?
a)
10
b)
12
c)
13
d)
not enough information
12.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
13.
solve for c
a)
7
b)
9
c)
4
d)
13
14.
25, 60, 65 is reduces to which Pythagorean triple?
a)
3, 4, 5
b)
5, 12, 13
c)
8, 15, 17
d)
7, 24, 25
15.
What is the third side if two sides are 3, and 4?
a)
5
b)
6
c)
12
d)
not enough information
16.
If one leg of a Right triangle is 15 and the Hypotenuse is 17, what is the length of the other leg?
a)
5
b)
6
c)
7
d)
8
17.
If one leg of a Right triangle is 48 and the Hypotenuse is 50, what is the length of the other leg?
a)
12
b)
13
c)
14
d)
15
e)
16
18.
If one leg of a Right triangle is 12 and the Hypotenuse is 20, what is the length of the other leg?
a)
13
b)
14
c)
15
d)
16
e)
18
19.
If one leg of a Right triangle is 15 and the Hypotenuse is 17, what is the length of the other leg?
a)
5
b)
6
c)
7
d)
8
20.
Find the value of x.
a)
36
b)
12
c)
16
d)
25
21.
Find the value of x.
a)
15
b)
16
c)
18
d)
17
22.
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
23.
Find the length of the missing side. a=5 b=12
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
24.
To use the Pythagorean Theorem, the triangle MUST be what kind of triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
25.
Which is a Pythagorean Triple
a)
30-72-76
b)
30-72-75
26.
Which is a Pythagorean Triple?
a)
33-44-56
b)
33-44-55
27.
c=50 b=40 What is a?
a)
33
b)
30
28.
The sides of a triangle are 3, 4, and 5. Is this a right triangle?
a)
yes
b)
no
c)
cannot tell
29.
Is 10, 24, and 13 a Pythagorean triple?
a)
yes
b)
no
c)
cannot tell
30.
Determine if the following set of numbers are Pythagorean Triples.
15, 20, 25
15, 20, 25
a)
Yes
b)
No
31.
Can a right triangle have sides of length
3, 4, and 5?
3, 4, and 5?
a)
Yes. 3-4-5 is a triple
b)
No. 3-4-5 is not a triple
32.
Can a right triangle have sides of length
6, 8, and 10?
6, 8, and 10?
a)
Yes. 6-8-10 is a triple
b)
No. 6-8-10 is not a triple
33.
Can a right triangle have sides of length
5, 7, and 9?
5, 7, and 9?
a)
Yes. 5-7-9 is a triple
b)
No. 5-7-9 is not a triple
34.
Can a right triangle have sides of length
5, 12, and 13?
5, 12, and 13?
a)
Yes. 5-12-13 is a triple
b)
No. 5-12-13 is not a triple
35.
Can a right triangle have sides of length
7, 24, and 25?
7, 24, and 25?
a)
Yes. 7-24-25 is a triple
b)
No. 7-24-25 is not a triple
36.
Which one of the following is a Pythagorean triple?
a)
21, 27, 35
b)
12, 35, 37
c)
33, 35, 48
d)
35, 77, 84
37.
Which one of the following is not a Pythagorean triple?
a)
18, 24, 30
b)
10, 24, 26
c)
16, 24, 29
d)
7, 24, 25
38.
Which one of the following is NOT a Pythagorean triple?
a)
7, 24, 25
b)
8, 15, 17
c)
9, 12, 15
d)
10, 16, 19
39.
Which one of the following is NOT a Pythagorean triple?
a)
A30, 40, 50
b)
9, 40, 41
c)
40, 76, 86
d)
24, 32, 40
40.
Which one of the following is a Pythagorean triple?
a)
5, 11, 12
b)
6, 13, 14
c)
7, 13, 15
d)
8, 15, 17
41.
Determine if the following set of numbers are Pythagorean Triples.
18, 73, 75
18, 73, 75
a)
Yes
b)
No
42.
Determine if the following set of numbers are Pythagorean Triples.
11, 60, 61
11, 60, 61
a)
Yes
b)
NO
43.
Determine if the following set of numbers are Pythagorean Triples.
10, 15, 21
10, 15, 21
a)
Yes
b)
No
44.
Determine if the following set of numbers are Pythagorean Triples.
9, 17, 18
9, 17, 18
a)
Yes
b)
No
45.
If 36 and 48 are the two smaller numbers in a Pythagorean Triple, what is the third number?
a)
45
b)
50
c)
55
d)
60
46.
If the legs of a right triangle are 10 and 24, then the hypotenuse is __________.
a)
21
b)
19
c)
26
d)
30
47.
If the sides of a rectangle are 12 and 15, then the diagonal is _____________.
a)
6√51
b)
9√37
c)
11√51
d)
3√41
48.
If the sides of a square are 9, then the diagonal is _____________.
a)
9√2
b)
10√5
c)
16√3
d)
18√7
49.
State if the triangle is acute, obtuse, or right.
a)
acute
b)
obtuse
c)
right
50.
State if the triangle is acute, obtuse, or right.
a)
acute
b)
obtuse
c)
right
51.
State if the three sides lengths form an acute, obtuse, or right triangle:
6 mi, 17 mi, 2√55 mi
6 mi, 17 mi, 2√55 mi
a)
acute
b)
obtuse
c)
right
52.
State if the three sides lengths form an acute, obtuse, or right triangle:
4.8 km, 28.6 km. 29 km
4.8 km, 28.6 km. 29 km
a)
acute
b)
obtuse
c)
right
53.
Does a triangle with these side lengths exist?
47, 28, 70
47, 28, 70
a)
Yes
b)
No
c)
I don't know.
54.
Does a triangle with these side lengths exist?
5, 10, 15
5, 10, 15
a)
Yes
b)
No
c)
I don't know.
55.
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
c)
maybe
d)
22
56.
Do the segment lengths 9, 12, and 15 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
57.
Acute, right, or obtuse?
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
58.
Acute, right, or obtuse?
20 , 101 , 99
20 , 101 , 99
a)
Right
b)
Obtuse
c)
Acute
d)
Not a triangle
59.
Acute, right, or obtuse?
4 , 15 , 11
4 , 15 , 11
a)
Right
b)
Obtuse
c)
Acute
d)
Not a triangle
60.
Find the value of x.
a)
7
b)
8
c)
9
d)
10
61.
Does the set of numbers represent a Pythagorean Triple.
10, 24, 26
10, 24, 26
a)
Yes
b)
No
62.
Does the set of numbers represent a Pythagorean Triple.
15, 20, 25
15, 20, 25
a)
Yes
b)
No
63.
The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
4, 5, 6
4, 5, 6
a)
right
b)
obtuse
c)
acute
64.
The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
11, 12, 15
11, 12, 15
a)
right
b)
obtuse
c)
acute
65.
If 36 and 48 are the two smaller numbers in a Pythagorean Triple, what is the third number?
a)
45
b)
50
c)
55
d)
60
66.
State if the triangle is acute, obtuse, or right.
a)
acute
b)
obtuse
c)
right
67.
State if the triangle is acute, obtuse, or right.
a)
acute
b)
obtuse
c)
right
68.
State if the three sides lengths form an acute, obtuse, or right triangle:
6 mi, 17 mi, 2√55 mi
6 mi, 17 mi, 2√55 mi
a)
acute
b)
obtuse
c)
right
69.
State if the three sides lengths form an acute, obtuse, or right triangle:
4.8 km, 28.6 km. 29 km
4.8 km, 28.6 km. 29 km
a)
acute
b)
obtuse
c)
right
70.
Acute, right, or obtuse?
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
71.
Acute, right, or obtuse?
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know how to do this
72.
Acute, right, or obtuse?
20 , 101 , 99
20 , 101 , 99
a)
Right
b)
Obtuse
c)
Acute
d)
Not a triangle
73.
Acute, right, or obtuse?
4 , 15 , 11
4 , 15 , 11
a)
Right
b)
Obtuse
c)
Acute
d)
Not a triangle
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