Form 12: Classifying Conditions: Unique, Infinitely Many, or No Triangles Exercise

Form 12: Classifying Conditions: Unique, Infinitely Many, or No Triangles

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Form 12: Classifying Conditions: Unique, Infinitely Many, or No Triangles

Analyze sets of given conditions to classify whether they form a unique triangle, infinitely many triangles, or no triangle at all.

Questions

  1. MultiChoice

    Given conditions: Side lengths 4 cm, 5 cm, and 10 cm. How many triangles can be formed?

  2. MultiChoice

    Given conditions: Angles 50°, 60°, and 70°. How many triangles can be formed?

  3. MultiChoice

    Given conditions: Side lengths 7 cm, 8 cm, and 9 cm. How many triangles can be formed?

  4. MultiChoice

    Given conditions: Angles 90°, 45°, and 45° with an included side of 6 cm. How many triangles can be formed?

  5. MultiChoice

    Given conditions: Angles 100°, 50°, and 40°. How many triangles can be formed?

  6. MultiChoice

    Given conditions: Sides 5 cm and 7 cm with an included angle of 45°. How many triangles can be formed?

  7. MultiChoice

    Given conditions: Sides 3 cm, 3 cm, and 6 cm. How many triangles can be formed?

  8. MultiChoice

    Given conditions: Angles 30°, 60°, and 90° with NO side lengths given. How many triangles can be formed?

  9. MultiChoice

    Given conditions: Side a = 6 cm, Side b = 8 cm, Angle A = 30° (opposite side a). How many triangles can be formed?

  10. MultiChoice

    Which of the following conditions results in NO triangle?

  11. MultiChoice

    Which of the following conditions results in INFINITELY MANY triangles?

  12. MultiChoice

    Which of the following conditions results in EXACTLY ONE unique triangle?