Question:
History, Definition, and Calculations of Pythagorean Theorem
1) 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.
2) Select at least 5 more Pythagorean Triples. Show why your 5 sets of Pythagorean triples work in the Pythagorean Formula. They should all be different from each other, and should not be the multiple of another. All 5 different Pythagorean Triples should be done using the rule that allows you to find ALL the Pythagorean triples, show in detail using the rule how they were created.