Question

Verify that (3,4,5), (5,12,13), (8,15,17), (24,25,7) are Pythagorean triplets.

Answer 1

i. Here, 5² = 25 

3² + 4² = 9 + 16 = 25 

∴ 5² = 3² + 4² 

The square of the largest number is equal to the sum of the squares of the other two numbers. 

∴ 3,4,5 is a Pythagorean triplet.

ii. Here, 13² = 169 

5² + 12² = 25 + 144 = 169 

∴ 13² = 5² + 12² 

The square of the largest number is equal to the sum of the squares of the other two numbers. 

∴ 5,12,13 is a Pythagorean triplet.

iii. Here, 17² = 289 

8² + 15² = 64 + 225 = 289 

∴ 17² = 8² + 15² The square of the largest number is equal to the sum of the squares of the other two numbers. 

∴ 8,15,17 is a Pythagorean triplet.

iv. Here, 25² = 625 

7² + 24² = 49 + 576 = 625 

∴ 25² = 7² + 24² 

The square of the largest number is equal to the sum of the squares of the other two numbers. 

∴ 24,25, 7 is a Pythagorean triplet.