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Worksheet 1 - Name:: Use The Pythagorean Theorem To Find The Missing Unit

This document contains 10 problems applying the Pythagorean theorem to find missing lengths in right triangles. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the two legs. Students are provided the lengths of two sides of each right triangle and asked to use the theorem to calculate the missing length. The answers are provided on the second page.

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0% found this document useful (0 votes)
384 views20 pages

Worksheet 1 - Name:: Use The Pythagorean Theorem To Find The Missing Unit

This document contains 10 problems applying the Pythagorean theorem to find missing lengths in right triangles. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the two legs. Students are provided the lengths of two sides of each right triangle and asked to use the theorem to calculate the missing length. The answers are provided on the second page.

Uploaded by

unknown :)
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 20

Worksheet 1 - Name:

(Answers on 2nd page of PDF)


The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.
?
19
5
? 13
17

3. 4.
?
20 5
14
10
?

5. 6.
23
13
8
6 ?
?

7. 8.

15 17

8 9

? ?

9. 10.
18 ?
7 6
? 15

http://math.about.com Score: /10


Worksheet 1 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.
?
19
5
? 13
17 S =13.928
S =8.485
3. 4.
?
20 5
14
10
S =14.866
?

S =17.321
5. 6.
23
13
8
6 ?
?
S =21.564
S =11.533

7. 8.

15 17

8 9

? ?

S =12.689 S =14.422
9. 10.
18 ?
7 6
? 15

S =16.583 S =16.155

http://math.about.com Score: /10


Worksheet 2 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.
?
?
7
21
12

23

3. 4.

24 24
11 10
? ?

5. 6.
13 14
5 ?
? 13

7. 8.
12 ?
? 8
11
18

9. 10.
24 17
11 9
? ?

http://math.about.com Score: /10


Worksheet 2 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.
?
?
7
21
12
S =22.136
23

S =25.942
3. 4.

24 24
11 10
? ?
S =21.331 S =21.817
5. 6.
13 14
5 ?
? 13

S =12 S =5.196

7. 8.
12 ?
? 8
11
18
S =4.796
S =19.698

9. 10.
24 17
11 9
? ?
S =21.331 S =14.422

http://math.about.com Score: /10


Worksheet 3 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.
107
41
34
17 ?
?

3. 4.
150
49
?
?
137
43

5. 6.
128
?
? 42
22
47

7. 8.
104 ?
37 15
? 43

9. 10.
? 118
15 ?
44
108

http://math.about.com Score: /10


Worksheet 3 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.
107
41
34
17 ?
? S =101.454
S =37.310
3. 4.
150
49
?
?
137
43
S =61.082
S =23.495
5. 6.
128
?
? 42
22
S =120.913
47

S =51.894
7. 8.
104 ?
37 15
? 43
S =97.196 S =45.541

9. 10.
? 118
15 ?
44
108
S =46.487
S =47.539

http://math.about.com Score: /10


Worksheet 4 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.
? 70

54 26
?
145

3. 4.
199
54
69
? ?
47

5. 6.
206
?
63
?
44
79

7. 8.
154 ?
75 35
?
70

9. 10.
158 71

73 27
?
?

http://math.about.com Score: /10


Worksheet 4 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.
? 70

54 26
?
145
S =64.992
S =154.729

3. 4.
199
54
69
? ?
47
S =186.655
S =26.589
5. 6.
206
?
63
?
44
S =196.130 79

S =90.427
7. 8.
154 ?
75 35
?
70
S =134.503
S =78.262
9. 10.
158 71

73 27
?
?
S =65.666
S =140.125

http://math.about.com Score: /10


Worksheet 5 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.
?
14
5
13
?

13

3. 4.
?
20 5 16
9
?

5. 6.
16 11
? 5
14
?

7. 8.
19 19

7 18 ?
?

9. 10.

22 23
10 ?
? 21

http://math.about.com Score: /10


Worksheet 5 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.
?
14
5
13
?
S =13.928
13

S =5.196
3. 4.
?
20 5 16
9
S =16.763
?

S =17.861
5. 6.
16 11
? 5
14
?
S =7.746
S =9.798

7. 8.
19 19

7 18 ?
?
S =6.083
S =17.664

9. 10.

22 23
10 ?
? 21
S =19.596 S =9.381

http://math.about.com Score: /10


Worksheet 6 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.
? ?

7 5
15
15

3. 4.
?
16
7
21
?
14

5. 6.
17
?
7
? 10
22

7. 8.
20 ?
6 6
?
12

9. 10.
18 ?
? 6
17 17

http://math.about.com Score: /10


Worksheet 6 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.
? ?

7 5
15
15
S =15.811
S =16.553

3. 4.
?
16
7
21
?
14 S =22.136

S =7.746
5. 6.
17
?
7
? 10

S =15.492 22

S =24.166
7. 8.
20 ?
6 6
?
12
S =19.079
S =13.416

9. 10.
18 ?
? 6
17 17
S =5.916 S =18.028

http://math.about.com Score: /10


Worksheet 7 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.

22 23

11 ?
21
?

3. 4.
16
17
5
6 ?
?

5. 6.
14
?
? 4
6
12

7. 8.
18 ?
6 4
? 12

9. 10.
20
23
7
? ?
21

http://math.about.com Score: /10


Worksheet 7 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.

22 23

11 ?
21
?
S =9.381
S =19.053
3. 4.
16
17
5
6 ?
? S =15.199
S =15.906

5. 6.
14
?
? 4
6
12 S =13.416

S =13.416
7. 8.
18 ?
6 4
? 12
S =16.971 S =12.649

9. 10.
20
23
7
? ?

S =18.735 21

S =9.381

http://math.about.com Score: /10


Worksheet 8 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.
? 154

20 ?
144
52

3. 4.
?
136
59
144 ?
121

5. 6.
124 ?
40 27
? 70

7. 8.
71
141
?
60 64
?

9. 10.
?
121
12
60 28
?

http://math.about.com Score: /10


Worksheet 8 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.
? 154

20 ?
144
52
S =54.589
S =55.714

3. 4.
?
136
59
144 ?

S =155.618 121

S =62.089
5. 6.
124 ?
40 27
? 70
S =117.371 S =75.027

7. 8.
71
141
?
60 64
? S =30.741
S =127.597
9. 10.
?
121
12
60 28
?
S =30.463
S =105.076

http://math.about.com Score: /10


Worksheet 9 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.

39 71
? ?

35 64

3. 4.
?
111
115 38
45
?

5. 6.
186 150

91 ?
? 137

7. 8.
36 111

14 ?
? 102

9. 10.
? 80
16 ?
48 75

http://math.about.com Score: /10


Worksheet 9 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.

39 71
? ?

35 64

S =17.205 S =30.741
3. 4.
?
111
115 38
45
? S =121.116

S =101.469

5. 6.
186 150

91 ?
? 137

S =162.219 S =61.082

7. 8.
36 111

14 ?
? 102

S =33.166 S =43.784

9. 10.
? 80
16 ?
48 75

S =50.596 S =27.839

http://math.about.com Score: /10


Worksheet 10 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.
? 201
24 ?
61 192

3. 4.
140
?
? 134
72
127

5. 6.
?
?
68
163 28
55

7. 8.
? ?

52 20 62
153

9. 10.
?
?
57 160 39
98

http://math.about.com Score: /10


Worksheet 10 - Name:
(Answers on 2nd page of PDF)
The theorem states that the square of the hypotenuse is the sum of the squares
of the legs. Always understand that the Pythagorean Theorem relates the areas
of squares on the sides of the right triangle.

Use the Pythagorean Theorem to find the missing unit


1. 2.
? 201
24 ?
61 192

S =65.552 S =59.473

3. 4.
140
?
? 134
72
S =40.546
127

S =145.990
5. 6.
?
?
68
163 28
55
S =176.615
S =61.717
7. 8.
? ?

52 20 62
153
S =65.146
S =161.595

9. 10.
?
?
57 160 39
98
S =169.850
S =105.475

http://math.about.com Score: /10

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