Question

Verity that the following numbers represent Pythagorean triplet:

(i) 12, 35, 37

(ii) 7, 24, 25

(iii) 27, 36, 45

(iv) 15, 36, 39

Answer 1

(i) The condition for Pythagorean triplet is the square of the largest side is equal to the sum of the squares of the other two sides.

37² =1369

12² + 35² = 144 + 1225 = 1369

12² + 35² = 37²

Yes, they represent a Pythagorean triplet.

(ii) The condition for Pythagorean triplet is the square of the largest side is equal to the sum of the squares of the other two sides.

25² = 625

7² + 24² = 49 + 576 = 625

7² + 24² = 25²

Yes, they represent a Pythagorean triplet.

(iii) The condition for Pythagorean triplet is the square of the largest side is equal to the sum of the squares of the other two sides.

45² = 2025

27² + 36² = 729 + 1296 = 2025

27² + 36² = 45²

Yes, they represent a Pythagorean triplet.

(iv) The condition for Pythagorean triplet is the square of the largest side is equal to the sum of the squares of the other two sides.

39² = 1521

15² + 36² = 225 + 1296 = 1521

15² + 36² = 39²

Yes, they represent a Pythagorean triplet.