Kuta Software - Infinite Pre-Algebra
Name___________________________________
The Pythagorean Theorem
Date________________ Period____
Do the following lengths form a right triangle?
1)
2)
12
5
8
6
13
9
Yes
No
3)
4)
4
3
10
8
5
Yes
6
Yes
5) a = 6.4, b = 12, c = 12.2
6) a = 2.1, b = 7.2, c = 7.5
No
Yes
Find each missing length to the nearest tenth.
7)
8)
6
8
4
3
6.7
8.9
9)
10)
7.6
10
7
3
7
12.2
11)
12)
7
2
2
7.3
©y 32y0L1q2L SKnu9tUa6 QSLoKfJtbwdaGrCeO ZLALQCU.1 B TA5lrlZ orliJg6h4tisO jrXeHswedrwvNeTd1.y e GMzaZd4eq 5wYiftohn zIsnMfbiTnbirtVeW bPbrxei-mA4lSgveabRrUad.G
6
6.3
-1-
Worksheet by Kuta Software LLC
13)
14)
10.4
3
10
5.4
5
2
15)
16)
11
3.9
7.4
3.6
10.3
6.5
17)
18)
13.3
7.5
6.5
9.7
9.1
9.9
19)
20)
7
10.6
2.7
5.2
6.5
9.2
21)
22)
5.9
5.3
2.7
4.9
6.5
7.2
Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com
©Q N2n0K1U2y SKXuDtyap ZS5oafYtLwBa0rUeF OLDLUCT.m v RAdlEl6 jrNitghhHtBsJ Jrleesletr9vFe2dX.K g hMaa7dzeZ Xwqi5txh5 II7nbfTi4n8i1tLef rPDrwei-tAkligPeXbjrHaZ.B
-2-
Worksheet by Kuta Software LLC
www.RudolphAcademy.com
Name:
Find the length of the side.
1.
2.
18
28
7
?
13
S =16.583
?
S =24.799
3.
4.
23
28
?
10
?
22
S =6.708
S =26.153
5.
6.
?
22
8
?
18
20
S =19.698
S =9.165
7.
8.
14
?
8
8
?
S =11.489
Get more worksheets at RudolphAcademy.com
18
S =19.698
Keep on learning!
www.RudolphAcademy.com
Name:
Find the length of the side.
1.
2.
18
27
6
?
?
25
S =16.971
S =10.198
3.
4.
20
17
8
9
?
?
S =18.330
S =14.422
5.
6.
?
?
5
7
14
18
S =14.866
S =19.313
7.
8.
21
10
?
9
?
S =18.466
Get more worksheets at RudolphAcademy.com
16
S =18.358
Keep on learning!
www.RudolphAcademy.com
Name:
Find the length of the side.
1.
2.
25
14
?
7
23
?
S =9.798
S =12.124
3.
4.
17
?
?
16
11
S =5.745
23
S =25.495
5.
6.
13
26
6
?
?
22
S =11.533
S =13.856
7.
8.
18
?
7
21
5
?
S =17.292
S =22.136
Get more worksheets at RudolphAcademy.com
Keep on learning!
www.RudolphAcademy.com
Name:
Find the length of the side.
1.
2.
26
23
?
25
12
S =7.141
?
S =19.621
3.
4.
?
25
4
9
?
14
S =14.560
S =23.324
5.
6.
18
18
7
?
?
16
S =16.583
S =8.246
7.
8.
27
8
?
?
7
S =25.788
12
S =13.892
Get more worksheets at RudolphAcademy.com
Keep on learning!
Date: _________________ ___/30 Name: ______________________
Pythagorean Theorem Assignment
A) Calculate the measure of x in each.
Where necessary, round you answer correct to one decimal place.
Complete on a separate piece of paper.
B) A ladder is leaning against the side of a 10m house. If the base of the
ladder is 3m away from the house, how tall is the ladder?
Draw a diagram and show all work.
PDF created with pdfFactory trial version www.pdffactory.com
C) What is the length of the diagonal?
D) What is the length of bd?
E) Use the Pythagorean Theorem to find out if these are right triangles.
Justify your answers.
PDF created with pdfFactory trial version www.pdffactory.com