the complete question in the attached figure
we know that
To construct a triangle, two segments added together have to be greater than the 3rd segment,
so
case A)
2, 12, 19
2+12 < 19------> these segments can not be used to form a triangle
case B)
4, 7, 13
4+7 < 13------> these segments can not be used to form a triangle
case C)
4, 5, 12
4+5 < 12------> these segments can not be used to form a triangle
case D)
13, 2, 12
13+2 > 12
13+12> 2
2+12>13
so
these segments can be used to form a triangle
the answer is
the option D)
13, 2, 12
these segments can be used to form a triangle
