From the question;
We are to find possible side lengths of a triangle
To get this we will follow the principle below
[tex]The\text{ sum of the two smaller sides is greater than the longer side}[/tex]considering the triangle with side lengths
[tex]4\operatorname{cm}\text{ , 8 cm, 10 cm}[/tex]we have
[tex]4\operatorname{cm}\text{ + 8 cm > 10 cm}[/tex]Therefore,
The possible side lengths of a triangle is 4cm, 8cm, 10cm