Pythagorean Triples

​Pythagorean Triples

By Rebecca Humble

What are Pythagorean Triples?

​Triples are any set of whole numbers that work in Pythagorean Theorem every time, meaning the answer is a whole number too.

If 3, 4, and 5 work, so do all their multiples...

x2 = 6, 8, and 10

x3 = 9, 12, and 15

x4 = 12, 16, and 20

x5 = 15, 20, and 25.... we can do this all day (write these down!)

Multiple Choice

What is the length of x?

(Do you recognize the third number in the triple without doing any work????)

• 5
• 7
• 8
• 25

5, 12, 13
10, 24, 26
15, 36, 39
8, 15, 17
16, 30, 34
7, 24, 25
14, 48, 50
9, 40, 41
18, 80, 82

3, 4, 5
6, 8, 10
9, 12, 15
12, 16, 20
15, 20, 25
18, 24, 30
21, 28, 35
24, 32, 40
27, 36, 45

​(There are more, but these are the most common)

More Triples: Write These Down!!!

​Now try using the triples to answer the following questions :)

Multiple Choice

Find the length of the missing side.

• 20 in.

• 68 in.

• 16 in.

• 80 in.

Multiple Choice

Find the length of the missing side.

• 25 cm

• 42 cm

• 52 cm

• 48 cm

Multiple Choice

solve for c

• 7
• 9
• 4
• 13

Multiple Choice

Find the length of the missing side. 

• 48 in.
• 52 in.
• 16 in.
• 24 in.