State whether the following statements are true or false.

It is possible to construct a triangle with sides 9 cm, 6 cm and 17 cm.

The given statement is false.
Concept:It is not possible to construct a triangle with sides 9 cm, 6 cm and 17 cm because 9+6 < 17 .We are aware that the triangle may be made if the total of the two smaller sides is greater than or equal to the third side, but because the sum in this case is less, the triangle cannot be built.
We are aware that the third side of a triangle should be bigger than the sum of any two of its sides.
Let be 9 cm, be 6 cm, and be 17 cm.
here should thus be bigger than .
= 9 + 6 = 15 cm now.
=17 cm
Since,It is not feasible to build the triangle that is presented.
Hence, the given statement is false.