Two sides of a triangle are `2016 cm ` and 2017 cm`, then find the minimum possible perimeter of the triangle which is an integer in cm.

Answer

4035 cm

Explanation

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`