(3,4,5)(5,12,13)(7,24,25)(8,15,17)(9,40,41)(11,60,61)(12,35,37)(13,84,85)(15,112,113)(16,63,65)(17,144,145)(19,180,181)(20,21,29)(20,99,101)(21,220,221)(23,264,265)(24,143,145)(25,312,313)(27,364,365)(28,45,53)(28,195,197)(29,420,421)(31,480,481)(32,255,257)(33,56,65)(33,544,545)(35,612,613)(36,77,85)(36,323,325)(37,684,685)
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3,4,5 1,2,3 these are sets of pythagorean triples
If the lengths of the sides of the triangle can be substituted for 'a', 'b', and 'c'in the equationa2 + b2 = c2and maintain the equality, then the lengths of the sides are a Pythagorean triple, and the triangle is a right one.
The Pythagorean Theorem allows the mathematician to determine the value of the hypotenuse. The converse of the Pythagorean Theorem manipulates the formula so that the mathematician can use the values to determine that if the triangle is a right triangle.
The pythagorean principle is A squared + B squared = C squared. This is applyed when solving side lengths of triangles.
If p and q are integers, then a = p2 - q2 b = 2pq, and c = p2 + q2 form a Pythagorean triple. Furthermore, if p and q are co-prime then the triple is primitive Pythagorean.