Does the set of numbers 13, 21, and 24 form a Pythagorean triple? Explain.

yes; 13^2 + 21^2 ≠ 24^2
no; 13^ 2 + 21^ 2 = 24^ 2
no; 13^2 + 21^2 ≠ 24^2
yes; 13^2 + 21^2 = 24^2

No; 13^2 + 21^2 ≠ 24^2.

A Pythagorean triple is a set of three positive integers (a, b, c) that satisfy the Pythagorean theorem, which states that a^2 + b^2 = c^2. In this case, the equation 13^2 + 21^2 ≠ 24^2 is not satisfied, so the set of numbers 13, 21, and 24 does not form a Pythagorean triple.