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Find a Pythagorean triplet in which one member is 12. -

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Question

Find a Pythagorean triplet in which one member is 12.

Sum

Solution

m2 - 1 = 12
m2 = 12 + 1 = 13.
Then the value of m will not be an integer.
2m = 12
m = 6
Thus, m2 - 1 = 36 - 1 = 35 and m2 + 1 = 36 + 1 = 37.
Therefore, the required triplet is 12, 35, 37.
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