Question

If the smallest number in a Pythagorean triplet is $14$. Find the other two numbers.

• A. $14,46,52$
• B. $14,48,52$
• C. $14,46,50$
• D. $14,48,50$

Answer 1

The correct option is D $14,48,50$

Pythagorean triplets can be obtained by the following formula
$2m,m^2-1,m^2+1$,
where $m$ is a natural number$(m>1)$, of these three numbers generally $2m$ is the smallest.
Here, $2m=14$
$m^2-1=49-1=48$
and $m^2+1=49+1=50$
${14}^2+{48}^2=196+2304=2500={50}^2$