Is it possible to construct a triangle with lengths of its sides as $9 \, cm$,$7 \, cm$,and $17 \, cm$? Give reason for your answer.

(N/A) No,it is not possible to construct a triangle with side lengths $9 \, cm$,$7 \, cm$,and $17 \, cm$.
According to the triangle inequality theorem,the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Here,the sum of the two smaller sides is:
$9 \, cm + 7 \, cm = 16 \, cm$
Since $16 \, cm < 17 \, cm$,the sum of the two sides is not greater than the third side.
Therefore,a triangle cannot be formed with these side lengths.