Which of the following is/are not Pythagorean triplet (s)?

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3, 4, 5

8, 15, 17

7, 24, 25

13, 26, 29

answer is D.

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Detailed Solution

It is given that we have to find the Pythagorean triplet from the given options.
We know that he sum of the square of the perpendicular (P) and the square of the base (B) of a right-angled triangle is equal to the square of the hypotenuse (H).

B 2 + P 2 = H 2

Let us check for option (1).
Here B=3, P=4 and H=5.
Placing the values in the above expression,

= 32 + 42 = 9 + 16 = 25 25 = 52

We can see that the resultant of the squares of base and perpendicular is equal to the square of hypotenuse.
Hence, option (1) is a Pythagorean triplet.
Let us check for option (2).
Here B=8, P=15 and H=17.

= 82 + 152 = 64 + 225 = 289 289 = 172

We can see that the resultant of the squares of base and perpendicular is equal to the square of hypotenuse.
Hence, option (2) is a Pythagorean triplet.
Let us check for option (3).
Here B=7, P=24 and H=25.

= 72 + 242 = 49 + 576 = 625 625 = 252

We can see that the resultant of the squares of base and perpendicular is equal to the square of hypotenuse.
Hence, option (3) is a Pythagorean triplet.
Let us check for option (4).
Here B=13, P=26 and H=29.