Question

what set up positive integers satisfy the equation a squared + b squared= c squared​

Answer 1

Pythogorean Triple:

• Definition: Pythogorean triple is three numbers a, b, c giving the result a² + b² = c²
• Remember that all of a, b, c must be positive integers to satisfy the condition.

Example set:

$\quad\quad\quad$$\begin{array}{|c|c|c|}\cline{1-3}a&b&c\\ \cline{1-3}3&4&5\\ 5&12&13\\ 15&8&17\\ 7&24&25\\ 9&40&41\\ 21&20&29\\ 119&120&169\\ 697&696&985\\ 4059&4060&5741\\ \cline{1-3}\end{array}$

• 1st one: 3² + 4² = 5²
• 3² + 4² = 9 + 16 = 25 = 5²

• 2nd one: 5² + 12² = 13²
• 5² + 12² = 25 + 144 = 169 = 13²

• 3rd one: 15² + 8² = 17²
• 15² + 8² = 225 + 64 = 289 = 17²

• 4th one: 7² + 24² = 25²
• 7² + 24² = 49 + 576 = 625 = 25²