Question

Out of the following triplets ................ is not a Pythagorean triplet.

• A. $7,24,25$
• B. $20,21,29$
• C. $11,60,61$
• D. $13,35,37$

Answer 1

Answer: (D)

$13,35,37$

Pythagorean triplet is a set of three positive integers $a,b,c$ such that $a^2+b^2=c^2$

Now, we can see that $7^2+{24}^2=625={25}^2$. So, $7,24,25$ is a Pythagorean triplet.

And ${20}^2+{21}^2=841={29}^2$. So, $20,21,29$ is a Pythagorean triplet.

Also, ${11}^2+{60}^2=3721={61}^2$. So, $711,60,61$ is a Pythagorean triplet.

But, ${13}^2+{35}^2=1394$ and $\sqrt{1394}=37.33$

Thus, $13,35,37$ is not a Pythagorean triplet.