Option (D) 11, 60, 61 is a Pythagorean triple.
Step-by-step explanation:
For each set of lengths we will check with Pythagorean theorem.
(A) 2, 3, 13
2² + 3² = 4 + 9 ≠ 13²
So option (A) is not a Pythagorean triple.
(B) 5, 7, 12
5² + 7² = 25 + 49
= 74 ≠ 12²
So not the answer.
(C) 10, 24, 29
10² + 24² = 100 + 576
= 676 ≠ 29²
So option is not the answer.
(D) 11, 60, 61
11² + 60² = 121 + 3600
= 3721
= 61²
Therefore, 11, 60, 61 is the Pythagorean triplet.
Option (D) is the answer.