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.