Solution

The output of this code will depend on the values of the variables a, b, and c. If the sum of the two shorter sides of a triangle is less than or equal to the length of the longest side, then a triangle with those side lengths cannot exist according to the Triangle Inequality Theorem. So, if any of the conditions (a+b)<=c, (b+c)<=a, or (a+c)<=b are true, the code will print "TRIANGLE_DOES_NOT_EXIST". If none of the conditions are true, the code will print "TRIANGLE_EXISTS". For example, if a = 3, b = 4, and c = 5, the sum of the two shorter sides a+b is equal to 7, which is greater than the longest side c of length 5. Similarly, (b+c) is 9 and is greater than a which is 3. And, (a+c) is 8 and is greater than b which is 4. Therefore, the conditions are false, and the code will print "TRIANGLE_EXISTS