Question

Out of the dates given below, which date constitutes a Pythagorean triplet?

• A. 20/12/16
• B. 13/08/15
• C. 12/07/18
• D. 16/10/25

Answer 1

The correct option is A

20/12/16

$\left(A\right){15}^2=225;{13}^2+8^2=169+64=233{15}^2\ne {13}^2+8^2\Rightarrow (13,08,15)$
is not a Pythagorean triplet.

$\left(B\right){25}^2=625;{10}^2+{16}^2=100+256=356{25}^2\ne {10}^2+{16}^2\Rightarrow (16,10,25)$
is not a Pythagorean triplet.

$\left(C\right){20}^2=400;{16}^2+{12}^2=256+144=400{20}^2={16}^2+{12}^2\Rightarrow (20,12,16)$
is a Pythagorean triplet.

$\left(D\right){18}^2=324;{12}^2+7^2=144+49=193{18}^2\ne {12}^2+7^2\Rightarrow (12,7,18)$
is not a Pythagorean triplet.