Asked in: March 2025 and March 2026 board papers (same question with option (5, 12, 13) in June 2026, and with dates in March 2024)Out of the following which is a Pythagorean triplet ?

Answer: B. (3, 4, 5)

Answer: (B) (3, 4, 5)

In a Pythagorean triplet, the square of the largest number equals the sum of the squares of the other two.

• (1, 5, 10): \(1^2 + 5^2 = 26 \ne 100 = 10^2\)
• (3, 4, 5): \(3^2 + 4^2 = 9 + 16 = 25 = 5^2\) (true)
• (2, 2, 2): \(2^2 + 2^2 = 8 \ne 4 = 2^2\)
• (5, 5, 2): \(5^2 + 2^2 = 29 \ne 25 = 5^2\)

So (3, 4, 5) is the Pythagorean triplet.

In June 2026 the correct option was (5, 12, 13): \(5^2 + 12^2 = 25 + 144 = 169 = 13^2\). In March 2024 the options were dates, and 15/8/17 was correct: \(8^2 + 15^2 = 64 + 225 = 289 = 17^2\).