Answer : A, C AND D
using the Triangle Inequality Theorem
It state that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Taking, 19 , 11, and 17
Let the first length = a
second length = b
Third length = c
According to the rule
a + b > c
19 + 11 > 17
30 > 17 ----------- This could represent the side lengths of a triangle
For 23, 28, 52
a = 23, b = 28, and c = 52
a + b > c
23 + 28 < 52
51 < 52 ..................... This can not represent the side lengths of a triangle
For 34, 9 , and 25
let a = 34, b = 9, and c = 25
a + b > c
34 + 9 > 25
43 > 25 ---------------------- This could represent the side lengths of a triangle
For 13, 22, 14
a = 13 , b = 22 and c = 14
a + b > c
13 + 22 > 14
35 > 14 ----------------- This could represent the side lengths of a triangle