Geometry

Question Analysis:
This question uses indirect proof to support the Triangle Inequality Theorem.
The focus is on testing triangle side relationships through contradiction.

Key Concept Explanation:
The Triangle Inequality Theorem states that in any triangle, the length of any one side must be less than the sum of the other two.
Assuming otherwise will violate the definition of a triangle.

Step-by-Step Solution:
To use indirect proof, assume the opposite:
One side is longer than the sum of the other two.
Try to construct such a triangle: a > b + c → No triangle can be formed.
This contradicts the basic definition of a triangle — a closed shape formed by three line segments.
Thus, the original statement is true.

Option Analysis:
A. Describes a valid triangle — not a ...