Geometry on E. Visel
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Recent content in Geometry on E. ViselHugo -- gohugo.ioen-usFri, 23 Mar 2018 00:00:00 +0000Pythagorean Triples
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Fri, 23 Mar 2018 00:00:00 +0000/blog/pythagorean-triples/In a quiet moment, I happened across Project Eulerâ€™s Question 39:
Integer right triangles Problem 39 If \(p\) is the perimeter of a right angle triangle with integral length sides, \(\{a,b,c\}\), there are exactly three solutions for \(p = 120\):
\[\{20,48,52\}, \{24,45,51\}, \{30,40,50\}\]
For which value of \(p \le 1000\), is the number of solutions maximised?
Put another way, what integer perimeter less than or equal to 1000 has the most Pythagorean triples?