Pythagorean Triples Worksheet
I.
I
NAME_______________________________________
Use Pythagorean Theorem to find the missing dimension of each right triangle. Then complete the
chart.
1.
2.
3
Short
Leg
13
Hypotenuse
1.
4
2.
5
3
.
Long
Leg
4
25
3.
.
.
7
15
4.
17
5
.
5.
6
.
9
.
.
6.
61
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.)
7.
Triple
Factor
2
New Triple
Factor
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
2
10
15.
3 7 ,4 7 ,5 7
New Triple
Looking at #15 above, if all three numbers of a triple have the same radical ( 7 , 2 , . . .) – would you get a
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
19.
12
20.
21.
65
17
25 3
?
?
?
.
24 3
25
8
22.
23.
24.
?
130
50
10
24
25.
60
?
26.
?
?
9
27.
26
10
80
40
?
30
?
40