Question

Identify which is NOT a Pythagorean triple.

A)5, 12, 13B)7, 24, 25C)8, 15, 16D)11, 60, 61E)12, 35, 37

​

Answer 1

C) 8, 15, 16 is NOT Pythagorean TRIPLET.

Explanation:

There numbers a, b and c are said to be a PYTHAGORAS TRIPLET if

`(a) ^2 + (b)^2 = (c) ^2`

Now, here in the given options:

A)5, 12, 13

`(5)^2 +   (12)^2 = 25 +  144 = 169 = (13)^2\\\implies (5) ^2 + (12)^2 = (13) ^2`

Hence, 5, 12, 13 is a Pythagorean TRIPLET.

B)7, 24, 25

`(7)^2 +   (24)^2 = 49 +  576=  625 = (25)^2\\\implies (7) ^2 + (24)^2 = (25) ^2`

Hence, 7, 24, 25 is a Pythagorean TRIPLET.

C)8, 15, 16

`(8)^2 +   (15)^2 = 64 +  225=  289 \\eq (16)^2 = 256\\\implies (8) ^2 + (15)^2 \\eq (16) ^2`

Hence, 8, 15, 16 is NOT Pythagorean TRIPLET.

D)11, 60, 61

`(11)^2 +   (60)^2 = 121 +  3600 =  3721 =  (61)^2\\\implies (11) ^2 + (60)^2 = (61) ^2`

Hence, 11, 60, 61 is a Pythagorean TRIPLET.

E)12, 35, 37

`(12)^2 +   (35)^2 = 144 +  1225 =  3721 =  (37)^2\\\implies (12) ^2 + (35)^2 = (37) ^2`

Hence, 12,35 , 37 is a Pythagorean TRIPLET.