Question

If six line segments having lengths 2, 3, 4, 5, 6, 7 units, Find the number of different line segments which cannot form a triangles.

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Answer 1

To form a triangle sum of two sides of triangle should be greater than third side. But

2+ 3 is NOT greater than 5, 6 and 7units

2 + 4 is NOT greater than 6 and 7units

2 + 5 is NOT greater than 7units

4 + 3 is NOT greater than 7units

So, total number of different line segment which cannot form triangles = 7