`ABCD` is a quadrilateral. Is `AB+BC+CD+DA > AC+BD ?`

Explanation

To determine whether \( AB + BC + CD + DA > AC + BD \) for the quadrilateral \( ABCD \), we can use the triangle inequality theorem. Here’s a step-by-step solution:

### Step 1: Identify the triangles
We can break down the quadrilateral \( ABCD \) into two triangles: \( \triangle ABC \) and \( \triangle ACD \).

### Step 2: Apply the triangle inequality to triangle \( ABC \)
According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. For triangle \( ABC \):
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