Research Article

Pythagorean Triples with Common Sides

Table 6

Nonprimitive Pythagorean triples with common leg for each odd value of .

Primitive TripleNon-primitive Triple

5(42, 1)(84, 1763, 1765)(420, 8815, 8825)
(21, 2)(84, 437, 445)(420, 2185, 2225)
(14, 3)(84, 187, 205)(420, 935, 1025)
(7, 6)(84, 13, 85)(420, 65, 425)

7(30, 1)(60, 899, 901)(420, 6293, 6307)
(15, 2)(60, 221, 229)(420, 1547, 1603)
(10, 3)(60, 91, 109)(420, 637, 763)
(6, 5)(60, 11, 61)(420, 77, 427)

15(14, 1)(28, 195, 197)(420, 2925, 2955)
(7, 2)(28, 45, 53)(420, 675, 795)

21(10, 1)(20, 99, 101)(420, 2079, 2121)
(5, 2)(20, 21, 29)(420, 441, 609)

35(6, 1)(12, 35, 37)(420, 1225, 1295)
(3, 2)(12, 5, 13)(420, 175, 455)

105(2, 1)(4, 3, 5)(420, 315, 525)