Write a Pythagorean triplet whose one member is 14
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Solution
For any natural number m > 1, 2m, m2 − 1, m2 + 1 forms a Pythagorean triplet.
If we take m2 + 1 = 14, then m2 = 13
The value of m will not be an integer.
If we take m2 − 1 = 14, then m2 = 15
Again the value of m is not an integer.
Let 2m = 14
m = 7
Thus, m2 − 1 = 49 − 1 = 48 and m2 + 1 = 49 + 1 = 50
Therefore, the required triplet is 14, 48, and 50.
Concept: Finding the Square of a Number
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