Question

find the Pythagorean triplet if the greatest number is 65

Answer 1

[ the pythagorean triplets are 2m, m²-1 & m²+1 ]

[ From here, the greatest one is m²+1 ]


Let m²+1 = 65

m² = 65-1 = 64
m = √64
m = 8

1 st no. = 2m = 2×8 = 16

2nd no. = m²-1 = (8)²-1 = 64-1 = 63

3rd no. = m²+1 = (8)²+1 = 64+1 = 65

♦ Pythagorean triets are 16, 63 & 65

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