Question

Which of the following triplets are Pythagorean? *

(2, 3,4)

( 5,6,7)

(8,9,12)

none of these​

Answer 1

Answer:

8,9,12.

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Answer 2

Answer:

D} None of these

Step-by-step explanation:

To identify whether given numbers form a Pythagorean triplet or not, we first substitute the values of numbers and then follow this procedure:

• Compare (Hypotenuse)² with [(Base)² + (Height)²]
• If they are equal, then the numbers form Pythagorean triplet.
• If they are not equal, then the numbers will not form a Pythagorean Triplet.

For the first part of the question;

We know that: 4² = 16

Now, (2² + 3²) = 4 + 9 = 13

16 ≠ 13.

So (2, 3, 4) does not form a Pythagorean triplet.

For the second part:

We know that 7² = 49

Now, (5² + 6²) = 25 + 36 = 61

49 ≠ 61.

So (5, 6, 7) does not form a Pythagorean triplet.

For the third part:

We know that 12² = 144

Now, (8² + 9²) = 64 + 81 = 145

144 ≠ 145

So (8, 9, 12) does not form a Pythagorean triplet.