Question

What is the condition for three line segments AB, BC and AC to form a triangle?

• A. $AB+BC>AC$
• B. $AC+BA>BC$
• C. $AC+BC>AB$
• D. All of these

Answer 1

The correct option is D

All of these

In a triangle, the sum of any two sides is always greater than the third side.
∴ $AB+BC>AC$
But this should hold true for any combinations of the sides.
So, the conditions are $AB+BC>AC$, $AC+BA>BC$ and $AC+BC>AB$.