# Pythagorean Triples - 3² + 4² = 5²

complete the exercise 4 in the “Projects” section on page 522 of Mathematics in Our World.

The numbers 3, 4, and 5 are called Pythagorean triples

since 3

2

+ 4

2

= 5

2

The numbers 5, 12, and 13 are also .

Pythagorean triples since 5

2

+ 12

2

= 13

2

Can you ﬁnd .

any other Pythagorean triples? Actually, there is a set

of formulas that will generate an inﬁnite number of

Pythagorean triples. Research the topic of Pythagorean

triples and write a brief report on the subject.

Make sure you build or generate at least five more Pythagorean Triples using one of the many formulas available online for doing this.

After building your triples, verify each of them in the Pythagorean Theorem equation.