Question

Identify the Pythagorean triplet.

• A. $(6,8,10)$
• B. $(3,4,7)$
• C. $(5,12,18)$
• D. $(2,3,6)$

Answer 1

Answer: (A)

$(6,8,10)$

A pythagorean triplet satisfies

$c^2=a^2+b^2$

In the option $A$

$c=10$ and let $a=6,b=8$

$c^2={\left(10\right)}^2=100a^2+b^2=6^2+8^2=36+64=100\Rightarrow c^2=a^2+b^2$

So $(6,8,10)$ is pythagorean triplet.

Rest of them do not satisfy condition of pythagoras.

So only $A$ is correct.