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Sum of Two Consecutive Triangular Numbers Is a Square Number

How to find a...

Question

How to find a Pythagorean triplet

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Solution

It is easy to construct sets of Pythagorean Triples.

When m and n are any two positive integers (m < n):

a = n² - m²

b = 2nm

c = n² + m²

Then a, b, and c form a Pythagorean Triple.

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Sum of Two Consecutive Triangular Numbers Is a Square Number

Standard VIII Mathematics

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