More properties of Pythagorean triples
The relation a2 + b2
= c2 has an
inherent feature in which twice of c2
is equal to a sum of two
squares where the greater number is [c +(a – 1)] while the
smaller number is [c + (a+1)].
2 x 52 = 12
+
72 ; (5 - 4)2 + (5 + 2)2
2 x 132 =
72 + 172 ; (13 –
6)2 + (13 + 4)2
2 x 252 =
172 + 312 ; (25 – 8)2 + (25 + 6)2
2 x 412 =
312 + 492 ; (41 – 10)2 + (41 + 8)2
2 x 612 =
492 + 712 ; (61 –
12)2 + (61 + 10)2
2 x 852 =
712 + 972 ; (85 –
14)2 + (85 + 12)2
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