Answer:
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.
