Which set of segment lenghts could be used to construct a triangle
Accepted Solution
A:
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