Form 1: Triangle Inequality Theorem and Side Lengths Exercise

Form 1: Triangle Inequality Theorem and Side Lengths

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Form 1: Triangle Inequality Theorem and Side Lengths

Apply the Triangle Inequality Theorem to evaluate relationships between side lengths. Determine whether given side lengths can successfully form a triangle.

Questions

  1. MultiChoice

    Can a triangle be constructed with side lengths 3 cm, 4 cm, and 8 cm?

  2. MultiChoice

    Which set of side lengths can form a unique triangle?

  3. MultiChoice

    If two sides of a triangle measure 7 cm and 11 cm, which length could be the third side?

  4. MultiChoice

    What condition must be met by three side lengths a, b, and c to form a triangle?

  5. MultiChoice

    Can a triangle have side lengths 6 cm, 6 cm, and 12 cm?

  6. MultiChoice

    Which side length CANNOT complete a triangle with existing sides 4 cm and 9 cm?

  7. MultiChoice

    What is the range of possible lengths for the third side x of a triangle with sides 5 cm and 12 cm?

  8. MultiChoice

    Which of the following combinations of side lengths CANNOT form a triangle?

  9. MultiChoice

    A student tries to construct a triangle with sides 8 cm, 15 cm, and 17 cm. Is this possible?

  10. MultiChoice

    If a triangle has side lengths 10 cm and 14 cm, what is the smallest possible whole number length for the third side?

  11. MultiChoice

    If a triangle has side lengths 9 cm and 15 cm, what is the largest possible whole number length for the third side?

  12. MultiChoice

    Why does the set of side lengths {2 cm, 3 cm, 6 cm} fail to form a triangle?