The three segments cannot form a triangle because BC + AC < AB, the correct option is B.
What is a Triangle?
A triangle is a polygon with three sides, angles and vertices.
The basic property of a triangle is that the sum of the lengths of the two sides should be greater than the third side.
The are three points, A, B, and C.
The triangle has to be formed from these three points.
The length of the side AC = (1/2) of AB.
The length of the side BC= (1/3) of AB
The length of the third side is AB.
According to the property, these lengths should be such that the sum of the lengths of the two sides should be greater than the third side.
The side AB is the biggest side, so the sum of AC and BC should be greater than AB.
BC + AC > AB
(1/2) AB + (1/3) AC is less than AB.
BC + AC < AB, and so they cannot form a triangle.
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