Geometry

Question Analysis

The main focus is to use the Triangle Inequality Theorem to determine whether the given side lengths can form a triangle. We need to check if the sum of any two sides is greater than the third side.

 

Key Concept Explanation

The Triangle Inequality Theorem states that for a triangle with side lengths , , and , the following three inequalities must be satisfied: a + b>c, a + c>b, and b + c>a. This theorem is based on the fundamental geometric principle that the shortest distance between two points is a straight line.

 

Step - by - Step Solution

1. Check the first inequality:

Let , , and . Calculate , which is