The two sides of a triangle are 2016 cm and 2017 cm. We know that the sum of any two sides of a triangle is greater than the third side. Let the third side of the triangle be a cm. `2016 +2017 gt a` `4033gta` The difference any two sides of triangle is less the third side. `2017-2016 lta` `1lta` From (1) and(2) , we get : To get the minimum perimeter (in intergral measure) of a triangle, a should be minimum ,i.e., `a=2`. `therefore` The minimum possible perimeter of the triangle `=2016 +2017 +2 =4035 cm`