Question

how to make these triangle with line segments of lengths

Answer 1

According to heading

we don't have to draw the triangle.

We have to say whether its possible to draw
this triangle

As we know the triangle property


Sum of two sides of a triangle should be bigger than the third side.

I'm showing one example from ur question.


I) 3 + 4 = 7
Hence it's not possible to draw this triangle
beacuse the sum of the two sides is not bigger than the third side.

2) 6 + 8 > 7
8 + 7 > 6
6 + 7 > 8

Hence its possible to draw this triangle