Question

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

• A. \( 15/8/17 \)
• B. \( 16/8/16 \)
• C. \( 3/5/17 \)
• D. \( 4/9/15 \)

Hint:

For a Pythagorean triplet, always verify \( a^2 + b^2 = c^2 \). Ensure the largest number is \( c \), the hypotenuse.

Answer 1

The Correct Option is C

Step 1: A Pythagorean triplet satisfies the condition \( a^2 + b^2 = c^2 \). Let us check the given options:
- For \( 3, 5, 17 \): \[ 3^2 + 5^2 = 9 + 25 = 34 \neq 17^2. \] This is incorrect.
- For \( 4, 9, 15 \): \[ 4^2 + 9^2 = 16 + 81 = 97 \neq 15^2. \] This is incorrect.
Thus, none of the options form a Pythagorean triplet.