# Pythagorean triplets

Geometry Level 3

• 1) $$n, n+1$$ are two consecutive positive integers. A Pythagorean triplet can be formed, if $$n$$ and $$n+1$$ are the two sides of the Right angled triangle(excluding hypotenuse).

• 2) $$n, n+10$$ are two integers($$n$$ being a positive integer).A Pythagorean triplet can be formed, if $$n$$ and $$n+10$$ are the two sides of the Right angled triangle(excluding hypotenuse).

• 3) $$n, n+30$$ are two positive integers($$n$$ being a positive integer). A Pythagorean triplet can be formed, if $$n$$ and $$n+30$$ are the two sides of the Right angled triangle(excluding hypotenuse).

Which of the above statements are true?

Clarification: A Pythagorean triplet is a set of three integers which satisfy the pythagorean theorem.

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