1.

Write two Pythagorean triplets each having one of the numbers as 5.

Answer»

Given, one of the number in the Pythagorean triplet i.e. 5.

= m2 + 1 = 5

= m2 = 4

= m = 2

Then,

2m = 2 × 2

m = 4

So,

And,

= m2 – 1

= 22 – 1

= 4 – 1

= 3

∴The Pythagorean triplet is 3, 4 and 5.

Similarly,

The other Pythagorean triplet is 5, 12 and 13.



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