0
(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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Sets of Pythagorean triples?
3,4,5 1,2,3 these are sets of pythagorean triples
How can you determine whether or not the sides of a triangle form a right triangle using 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.
Converse of Pythagorean Theorem?
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.
What is the pythagorean principle?
The pythagorean principle is A squared + B squared = C squared. This is applyed when solving side lengths of triangles.
What is the form of the Pythagorean triple generator?
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.
