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ABCD is a quadrilateral. Is AB+BC+CD+DA...

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

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To determine whether \( AB + BC + CD + DA > AC + BD \) for quadrilateral \( ABCD \), we can use the properties of triangles formed by the diagonals of the quadrilateral. Here’s a step-by-step solution: ### Step 1: Identify the triangles Consider the diagonals \( AC \) and \( BD \) of quadrilateral \( ABCD \). We can form four triangles: \( \triangle ABC \), \( \triangle ADC \), \( \triangle DBC \), and \( \triangle ADB \). ### Step 2: Apply the triangle inequality For each triangle, we can apply the triangle inequality which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ...
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