Question

Out of the dates given below which date constitutes a Pythagorean triplet ?Select the correct alternative.
(A) 15/08/17
(B) 16/08/16
(C) 3/5/17
(D) 4/9/15

Answer 1

A) 15/08/17

15×15=225
8×8=64
17×17=289
225+64=289.
hope it will help you.

Answer 2

Answer:

Option (A) 15/08/17 is correct.

Step-by-step explanation:

According to the Pythagoras theorem, Three numbers A, B and C are called Pythagoras triplet if they follow the following condition:

$\rm A^2=B^2+C^2\\where,\ A>B\ and \ A>C.$

Let's check all the dates one by one:

(A) 15/08/17

$17^2=289\\15^2=225\\8^2=64\\15^2+8^2=225+64=289=17^2.$

Thus, it is a Pythagoras triplet.

(B) 16/08/16

$16^2\neq 16^2+8^2.$

Thus, it is not a Pythagoras triplet.

(C) 3/5/17

$17^2=289\\5^2=25\\3^2=9\\17^2\neq 5^2+3^2.$

Thus, it is not a Pythagoras triplet.

(D) 4/9/15

$15^2=225\\9^2=81\\4^2=16\\15^2\neq 9^2+4^2.$

Thus, it is not a Pythagoras triplet.

Only option (A) is correct.