Geometry

Question Analysis

The core task here is to apply the Triangle Inequality Theorem to figure out if the given side lengths can form a triangle. This requires checking if the sum of any two sides exceeds the length of the third side.

 

Key Concept Explanation

The Triangle Inequality Theorem posits that for a triangle with side lengths , , and , the following three inequalities must be true: a + b>c, a + c>b, and b + c>a. Geometrically, this is because the shortest distance between two points is a straight line.

 

Step - by - Step Solution

1. Check the first inequality:

Let , , and . Calculate , which is

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