Question

Which set of integers is not a Pythagorean triple? A. 12, 35, 37 B. 14, 46, 48 C. 16, 63, 65 D. 20, 99, 101

Answer 1

b is the answer hope i helped

Answer 2

The question is about which set of integers is not a Pythagorean triple,

A Pythagorean triple is a set of three integer (a,b,c) that satisfy the Pythagorean theorem, which states that in a right angled triangle, the square of hypotenuse is equal to the sum of the square of two smaller sides,

`\rightarrow c^2= a^2+b^2` where a and b refer to the shorter sides and c refers to the longest side, hypotenuse , of the triangle.

Given set of triple integers are-

A. 12, 35, 37 B. 14, 46, 48 C. 16, 63, 65 D. 20, 99, 101

checking each set, we get

A.
`12^2+35^2 =1369 =37^2`

B.
`14^2+46^2=2312=34√(2) \\eq 48^2`

C.
`16^2+63^2=4225=65^2`

D.
`20^2+99^2=10201=101^2`

Hence, Option B. 14, 46, 48 set of integer is not a Pythagorean triple.