Lilana claims that she can construct a triangle from a 12 inch rod a 36 inch rod and a 39.4 rod which statement explains wheather she is correct

The appropriate response is that Iliana will have the capacity to develop a triangle in light of the fact that the aggregate of any opposite sides is more prominent than the third side.  

In the triangle, the total of any opposite sides is constantly more prominent than the third side.

Let's just check out Iliana's triangle:

a = 12 in

b = 36 in

c = 39.4 in

a + b > c

12 + 36 > 39.4

48 > 39.4      

a + c > b

12 + 39.4 > 36

51.4 > 36

b + c > a

36 + 39.4 > 12

75.4 > 12

Since we showed that  the sum of any two sides is always greater than the third side, Iliana's statement is correct.