Question

Does the set of numbers 13, 21, and 24 form a Pythagorean triple? Explain. a. yes; 132 + 212 ≠ 242

b. no; 132 + 212 = 242
c.no; 132 + 212 ≠ 242
d. yes; 132 + 212 = 242

Answer 1

No; no; 13^2 + 21^2 ≠ 24^2

Explanation:

The sum of the squares of the legs is greater than the square of the hypotenuse, therefore this set of numbers DOES NOT form a Pythagorean triple. The sum of the squares of the legs must be equal to the square of the hypotenuse.

Answer 2

For a Pythagorean triple:
a² + b² = c²
13² + 21² = 24²
169 + 441 = 576
610 ≠ 576
Answer:
C ) No, 13² + 21² ≠ 24²