Given:
The objective is to find which of the set of numbers does not represent the three sides of a right triangle.
The sides can be verified using Pythagoras theorem.
The formula of Pythagorean theorem is,
[tex]\text{Hypotenuse}^2=Opposite^2+Adjacent^2[/tex]Consider the larger side as hypotenuse of the right triangle.
In option (A), the given point is (36,84,91).
[tex]\begin{gathered} 91^2=36^2+84^2 \\ 8281=1296+7056 \\ 8281\ne8352 \end{gathered}[/tex]Since, in the above Pythagorean theorem, LHS is not equal to RHS.
Hence, option (A) could not represent the three sides of a right triangle.
