Which set of integers is NOT a Pythagorean triple and are NOT the side lengths of a right triangle?

A.) 12 ,16 ,20

B.)10 ,24 ,26

C.)14, 48, 50

D.)27, 32, 45

The sum of the squares of the least two numbers is equal to the square of the greatest number
a, b and c are three integers where c is the greatest one,then if a² + b² = c², then a, b and c are Pythagorean triple
Pythagorean triple can form side lengths of a right triangle

A. 12, 16, 20

∵ 20 is the greatest number

∵ (12)² + (16)² = 144 + 256 = 400

∵ (20)² = 400

∴ (20)² = (12)² + (16)²

∴ The set of integers 12, 16, 20 is a Pythagorean triple

∴ 12, 16, 20 are the side lengths of a right triangle

B. 10, 24, 26

∵ 26 is the greatest number

∵ (10)² + (24)² = 100 + 576 = 676

∵ (26)² = 676

∴ (26)² = (10)² + (24)²

∴ The set of integers 10, 24, 26 is a Pythagorean triple

∴ 10, 24, 26 are the side lengths of a right triangle

C. 14, 48, 50

∵ 50 is the greatest number

∵ (14)² + (48)² = 196 + 2304 = 2500

∵ (50)² = 2500

∴ (50)² = (14)² + (48)²

∴ The set of integers 14, 48, 50 is a Pythagorean triple

∴ 14, 48, 50 are the side lengths of a right triangle

D. 27, 32, 45

∵ 45 is the greatest number

∵ (27)² + (32)² = 729 + 1024 = 1753

∵ (45)² = 2025

∴ (45)² ≠ (27)² + (32)²

∴ The set of integers 27, 32, 45 is NOT a Pythagorean triple

∴ 27, 32, 45 are NOT the side lengths of a right triangle

The set of integers 27, 32, 45 is NOT a Pythagorean triple and are NOT the side lengths of a right triangle

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