Dentify the Pythagorean triple. A) 3, 6, 12 B) 8, 16, 32 C) 12, 34, 30 D) 28, 45, 53

Therefore (28,45,53) is a Pythagorean triple.

Step-by-step explanation:

A Pythagorean triple consists of three positive integers a, b and c such that

a²+b²=c²

1.

3²+6²=45 and 12²=144

∴3²+6²≠144

Therefore (3,6,12) is not a Pythagorean triple.

2.

8²+16² = 330 and 32² = 1024

∴8²+16²≠32²

Therefore (8,16,32) is not a Pythagorean triple.

3.

12²+34²=1024 and 34²=5611

∴12²+34²≠34²

Therefore (12,34,30) is not a Pythagorean triple.

4.

28²+45²=2809 and 53²=2809

∴28²+45²=53²

Therefore (28,45,53) is a Pythagorean triple.