"Pythagorean Triples Worksheet - West Ada School District"

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Pythagorean Triples Worksheet
I
NAME_______________________________________
I.
Use Pythagorean Theorem to find the missing dimension of each right triangle. Then complete the
chart.
1.
2.
Short
Long
Hypotenuse
Leg
Leg
3
13
1.
4
2.
5
3
4
.
3.
25
.
7
15
.
4.
17
5.
5
6
.
.
61
6.
.
.
9
40
60
Given the triples above that you put in the table, use the factors in the table below to compute
additional triples.
(Use the chart above, and fill in the chart below.)
Triple
Factor
New Triple
Factor
New Triple
7.
2
10
8.
2
10
9.
2
10
10.
2
10
11.
2
10
12
2
10
13.
6, 8, 10
2
10
14.
3, 4, 5
3
5
15.
2
10
3
7
4 ,
7
5 ,
7
. . .) – would you get a
Looking at #15 above, if all three numbers of a triple have the same radical (
, 7
, 2
similar result as you did in #15?
Pythagorean Triples Worksheet
I
NAME_______________________________________
I.
Use Pythagorean Theorem to find the missing dimension of each right triangle. Then complete the
chart.
1.
2.
Short
Long
Hypotenuse
Leg
Leg
3
13
1.
4
2.
5
3
4
.
3.
25
.
7
15
.
4.
17
5.
5
6
.
.
61
6.
.
.
9
40
60
Given the triples above that you put in the table, use the factors in the table below to compute
additional triples.
(Use the chart above, and fill in the chart below.)
Triple
Factor
New Triple
Factor
New Triple
7.
2
10
8.
2
10
9.
2
10
10.
2
10
11.
2
10
12
2
10
13.
6, 8, 10
2
10
14.
3, 4, 5
3
5
15.
2
10
3
7
4 ,
7
5 ,
7
. . .) – would you get a
Looking at #15 above, if all three numbers of a triple have the same radical (
, 7
, 2
similar result as you did in #15?
Using the Pythagorean Common Triples, find the missing side (triangles are rarely to scale).
16.
17.
18.
?
10
?
8
4
5
?
3
12
19.
20.
21.
25
3
65
?
?
17
?
.
24
3
25
8
22.
23.
24.
?
130
?
40
50
10
24
?
9
25.
26.
27.
?
?
26
60
30
10
?
80
40
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