Solution:
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,
[tex] \rightarrow c^2= a^2+b^2 [/tex] 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. [tex] 12^2+35^2 =1369 =37^2 [/tex]
B. [tex] 14^2+46^2=2312=34\sqrt{2} \neq 48^2 [/tex]
C. [tex]16^2+63^2=4225=65^2 [/tex]
D. [tex] 20^2+99^2=10201=101^2 [/tex]
Hence, Option B. 14, 46, 48 set of integer is not a Pythagorean triple.
