Question

which of the following is not a Pythagorean triplet?
(1) 3,4,5
(2) 6,8,10
(3) 8,15,16
(4) 10,24,26​

Answer 1

Answer:

which of the following is not a Pythagorean triplet?

(3) 8,15,16

Answer 2

Given:

Some numbers are given

(1) 3,4,5

(2) 6,8,10

(3) 8,15,16

(4) 10,24,26​

To Find:

Which of them is not Pythagorean triplet.

Step-by-step explanation:

Since , we know A Pythagorean triplet consists of three positive integers a,b,c such that  $a^2+b^2=c^2$

(1) in first part we can see $3^2+4^2=25=5^2$

    Thus (3,4,5) are Pythagorean triplets.

(2) In second part we can see $6^2+8^2=100=10^2$

    Thus (6,8,10) are Pythagorean triplets.

(3) In Third part we can see $8^2+15^2\neq 16^2$

    Thus (8,15,16) are Pythagorean triplets.

(4) In fourth part we can see $10^2+24^2=676=26^2$

    Thus (10,24,26) are Pythagorean triplets.

Thus, (3) part is not Pythagorean triplets.