does the set of numbers 13, 21 and 24 form a Pythagorean triple? explain

Answer 1

To determine if the set of numbers 13, 21, and 24 forms a Pythagorean triple, we need to check if the sum of the squares of the two smaller numbers is equal to the square of the largest number.

Let's square each of the numbers:
13^2 = 169
21^2 = 441
24^2 = 576

Now let's check if the sum of the squares of the two smaller numbers is equal to the square of the largest number:
169 + 441 = 610

Since 610 is not equal to 576, the set of numbers 13, 21, and 24 does not form a Pythagorean triple.