how many Pythagorean triplets under 50 ? who
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Step-by-step explanation:
There are 50 Pythagorean triples with hypotenuse less than 100, the first few of which, sorted by increasing c, are (3, 4, 5), (6, 8,10), (5, 12, 13), (9, 12, 15), (8, 15, 17), (12, 16, 20), (15, 20, 25), (7, 24, 25), (10, 24, 26), (20, 21, 29), (18, 24, 30), (16, 30, 34), (21, 28, 35), ... (OEIS A046083, A046084, and A009000).
Of these, only 16 are primitive triplets with hypotenuse less than 100: (3, 4,5), (5, 12, 13), (8, 15, 17), (7, 24, 25), (20, 21, 29), (12, 35, 37), (9, 40, 41), (28, 45, 53), (11, 60, 61), (33, 56, 65), (16, 63, 65), (48, 55, 73), (36, 77,
85), (13, 84, 85), (39, 80, 89), and (65, 72, 97) (OEIS A046086, A046087, and A020882).
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