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Sum of Two Consecutive Triangular Numbers Is a Square Number

Find the larg...

Question

Find the largest number of Pythagorean triples whose smallest two numbers are 6 and 8.

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Solution

c² = a² + b²
c² = 6² + 8²
c = 10
So the third number is 10.

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Sum of Two Consecutive Triangular Numbers Is a Square Number

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