Question

Which among the following are Pythagorean triplets?

• A. 15, 8, 17
• B. 12, 16, 20
• C. 3, 4, 5
• D. 1, 1, 2

Answer 1

Answer: (A), (B), (C)

3, 4, 5

$\text{Pythagorean triplets are set of three}\text{positive integers a, b, c such that,}{a}^2+b^2=c^2.$

${15}^2+8^2=225+64=289={17}^2.\text{Hence, the numbers 15, 8 and 17}\text{form a Pythagorean triplet.}$

$3^2+4^2=9+16=25=5^2.\text{Hence, the numbers 3, 4 and 5}\text{form a Pythagorean triplet.}$

${12}^2+{16}^2=144+256=400={20}^2\text{Hence, the numbers 12, 16 and 20}\text{form a Pythagorean triplet.}$

$1^1+1^1=1+1=2\ne 2^2\text{Hence, the numbers 1, 1 and 2}\text{does not form a Pythagorean triplet.}$