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  • Triangle Inequality Theorem: Can 4, 8, and 11 Inches Form a Triangle?
    No, 4 inches, 8 inches, and 11 inches do not form a triangle.

    Here's why:

    * The Triangle Inequality Theorem: This theorem states that the sum of any two sides of a triangle must be greater than the third side.

    * Let's check:

    * 4 + 8 = 12 > 11 (This works)

    * 4 + 11 = 15 > 8 (This works)

    * 8 + 11 = 19 < 20 (This does not work!)

    Since the sum of the two shorter sides (8 and 11) is not greater than the longest side (20), these lengths cannot form a triangle.

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