Answer :
We have to check if a triangle with sides of length 10, 11 and 2 could be a right triangle.
If it is a right triangle, it should verify the Pythagorean theorem:
[tex]c^2=a^2+b^2[/tex]where c is the hypotenuse, that we can identify as the longest side.
In this case the hypotenuse would be 11, as it is the longest side.
Then, 2 and 10 would be the legs.
We can then check the Pythagorean theorem:
[tex]\begin{gathered} c^2=a^2+b^2 \\ 11^2=10^2+2^2 \\ 121=100+4 \\ 121\ne104\to Not\text{ }verified \end{gathered}[/tex]As the sides do not check the Pythagorean theorem, the sides do not correspond to a right triangle.
Answer: The sides do not correspond to a right triangle.