Question

Which set of lengths are not the side lengths of a right triangle? A 24, 33, 42 B 27, 120, 123 С 36, 77,85 20, 99, 101

Answer 1

They are the set of lengths of a right triangle if they satisfy the pythagorean theorem:

$\begin{gathered} c^2=a^2+b^2 \\ Where \\ c>a \\ c>b \end{gathered}$

so:

$\begin{gathered} 42^2=24^2+33^2 \\ 1764=1665 \\ False \\ 1764\ne1665 \end{gathered}$

the set of lengths which are not side of a right triangles is:

A 24, 33, 42