Find Pythagorean triplet of which smallest number is 8.

6, 8, 10

8, 9, 10

8, 15, 17

8, 64, 512

Find Pythagorean triplet of which smallest number is 8. Correct Answer 8, 15, 17

Concept Used:

A Pythagorean triplet consists of three positive integers a, b, and c, such that a² + b² = c²

Calculation:

In option 1:

6 is the smallest number hence this can never be true as 8 should be the smallest

In option 2:

8² + 9² ≠ 10²

In option 3:

⇒ 8² + 15² = 17²is a Pythagorean triplet in which the smallest number is 8.

∴ 8, 15, 17 is the required Pythagorean triplet.

Feb 20, 2025

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