Answer:
39
Step-by-step explanation:
In a triangle, the sum of any two side lengths must exceed the length of the remaining third side. Therefore these 3 inequalities must be true.
5 + 19 > x
5 + x > 19
19 + x > 5
We can ignore the third inequality because, for any positive value of x, the inequality is true.
x < 26
x > 14
Now we know that x, the length of the third side, must be greater than 14 but less than 26. Since we are asked for the smallest whole number possible, the third side would be length 15. Therefore the perimeter is 5 + 19 + 15 = 39.
