Prove that sum of any two sides of a triangle is greater than twice the median with respect to the third side.

Explanation

To prove that the sum of any two sides of a triangle is greater than twice the median with respect to the third side, we will follow these steps:

### Step 1: Define the Triangle and Median
Let triangle ABC have sides AB, AC, and BC. Let AD be the median from vertex A to side BC, which means D is the midpoint of BC.

### Step 2: Extend the Median
Extend the median AD to a point E such that AD = DE. This means that the length of DE is equal to the length of AD.

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