Question

Which of the following is a pythagorean triplet ?

a) 60, 61, 11 b) 40, 41, 42 c) 11, 12, 15 d) 9, 15, 17​

Answer 1

Answer:

option ( d )9,15,17

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Concept:

Pythagorean triplet is a sequence of numbers in which the square of the largest number is equal to the sum of squares of other two numbers.

To find:

Pythagorean triplet from given options

Solution:

Step 1:

Find the squares of given triplets.

For the triplet $(60,61,11)$ , the largest number is $61$.

$61^{2} = 3721$    ⇒  A

Sum of squares of other two numbers $60$ and $11$  is given by,

$= 60^{2} + 11^{2} \\\\= 3600 + 121\\\\=3712$⇒ B

Since, $A=B$  the triplet $(60,61,11)$   is a pythagorean triplet.

Step 2:

Since, the pythagorean triplet is found , no need to check for other triplets.

Hence, the pythagorean triplet is $( 60,61,11)$

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