Question

Identify which one of the following numbers are Pythagorean triplets?

• A. $12,35,37$
• B. $15,102,106$
• C. $10,23,26$
• D. $14,28,50$

Answer 1

The correct option is A $12,35,37$

Taking the case of $12,35,37$
On squaring each number, we get
${12}^2=144$

${35}^2=1225$

${37}^2=1369$

Now, ${12}^2+{35}^2=144+1225=1369$ $={37}^2$

$\therefore {12}^2+{35}^2={37}^2$

Hence, $12,35,37$ are Pythagorean triplets.