Question

Out of the following, which is the Pythagorean triplet?

Options

• (1, 5, 10)

• (3, 4, 5)

• (2, 2, 2)

• (5, 5, 2)

Answer 1

(3, 4, 5)

Explanation:

(A) In the triplet (1, 5, 10),

1² = 1, 5² = 25, 10² = 100 and 1 + 25 = 26 ≠ 100 

The square of the largest number is not equal to the sum of the squares of the other two numbers.

∴ (1, 5, 10) is not a Pythagorean triplet.

(B) In the triplet (3, 4, 5),

3² = 9, 4² = 16, 5² = 25 and 9 + 16 = 25

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.

(C) In the triplet (2, 2, 2),

2² = 4, 2² = 4, 2² = 4 and 4 + 4 = 8 ≠ 4

The square of the largest number is not equal to the sum of the squares of the other two numbers.

∴ (2, 2, 2) is not a Pythagorean triplet.

(D) In the triplet (5, 5, 2),

2² = 4, 5² = 25, 5² = 25 and 4 + 25 = 29 ≠ 25

The square of the largest number is not equal to the sum of the squares of the other two numbers.

∴ (5, 5, 2) is not a Pythagorean triplet.