Correct option is D
Given:
Four sets of numbers as options.
Formula Used:
Pythagorean triplet condition: For a triplet (a,b,c) where c is the largest number, .
Solution:
Let us check each option using the Pythagorean theorem.
For Option A (5, 12, 13):
This forms a Pythagorean triplet.
For Option B (7, 24, 25):
This forms a Pythagorean triplet.
For Option C (8, 15, 17):
This forms a Pythagorean triplet.
For Option D (9, 40, 49):
Here, the sum of the squares of the two smaller numbers is not equal to the square of the largest number.
Therefore, (9, 40, 49) is not a Pythagorean triplet. The correct triplet would be (9, 40, 41).
Final Answer
So the correct answer is (d)
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