Question

natural number a,b,c from Pythagorean triplets,if
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Answer 1

Step-by-step explanation:

natural number a,b,c from Pythagorean triplets,if

the numbers a,b,c obeys any one of these 2m , m²-1 , m²+1 followed by others .. here 'm' is the natural number .

example : let me take , 12

so , 12 is divisible by 2 ..

2m = 12. ( one of the formula from above )

m = 6 ---(1)

then, m²-1 = (6)²-1 = 36-1 = 35..

m²+1 = (6)²+1 = 36+1 = 37..

Answer 2

A Pythagorean triplet is a set of three natural numbers, a, b and c, for which a2 + b2 = c2.

For example, 32 + 42 = 9 + 16 = 25 = 52.

There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc.