Question

Which of the following numbers does not form a Pythagorean triplet?

• A. (5, 12, 13)
• B. (28, 45, 53)
• C. (48, 65, 73)
• D. (9, 40, 41)

Answer 1

The correct option is C (48, 65, 73)

If (a, b, c) is a Pythagorean triplet, then a² + b² = c².

Option (a): (5, 12, 13)
⇒ (5)² + (12)² = (13)²
⇒ 25 + 144 = 169
⇒ 169 = 169
∴ (5, 12, 13) is a Pythagorean triplet.

Option (b): (28, 45, 53)
⇒ (28)² + (45)² = (53)²
⇒ 784 + 2025 = 2809
⇒ 2809 = 2809
∴ (28, 45, 53) is a Pythagorean triplet.

Option (c): (48, 65, 73)
⇒ (48)² + (65)² = (73)²
⇒ 2304 + 4225 = 5329
⇒ 6529 ≠ 5329
∴ (48, 65, 73) is not a Pythagorean triplet.

Option (d): (9, 40, 41)
⇒ (9)² + (40)² = (41)²
⇒ 81 + 1600 = 1681
⇒ 1681 = 1681
∴ (9, 40, 41) is a Pythagorean triplet.