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Sum of Two Consecutive Triangular Numbers Is a Square Number

Which of the ...

Question

Which of the following is not a Pythagorean triplet?

A

40, 76, 86

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B

24, 32, 40

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C

30, 40, 50

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D

9, 40, 41

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Solution

The correct option is A
40, 76, 86

It can be seen that:
50² = 2500 = 900 + 1600 = 30² + 40²
41² = 1681 = 1600 + 81 = 40² + 9²
40² = 1600 = 1024 + 576 = 32² + 24²
86² = 7396 ≠ 40² + 76²

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Sum of Two Consecutive Triangular Numbers Is a Square Number

Standard VIII Mathematics

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