Triangle Inequality Trivia Quiz

10 Questions

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Triangle Inequality Trivia Quiz

Triangle inequality is a law of triangles which states that, for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side. What else do you know about inequalities of triangles? Try this quiz.


Questions and Answers
  • 1. 
    Triangle inequality is a theorem about which of the following?
    • A. 

      Distance

    • B. 

      Trigonometric values

    • C. 

      Triangle properties

    • D. 

      Heights

  • 2. 
    Which of these is triangle inequality written in?
    • A. 

      Algebraic ratio

    • B. 

      Vector

    • C. 

      Scaler

    • D. 

      Euclidean Geometry

  • 3. 
    Which of these is correct for a triangle with sides a, b and c?
    • A. 

      A + b ≤ c

    • B. 

      A + b ≥ c

    • C. 

      A - b ≥ c

    • D. 

      A + b < c

  • 4. 
    The triangle inequality expresses a relationship between which of the following?
    • A. 

      Length of its sides

    • B. 

      Its Perimeter

    • C. 

      Variance

    • D. 

      Abolute Values

  • 5. 
    The triangle inequality is a consequence of the Pythagorean theorem for which of these triangles?
    • A. 

      Right Triangles

    • B. 

      Issoceles

    • C. 

      Equilateral

    • D. 

      Oblique

  • 6. 
    Which of these is correct? 
    • A. 

      The longest side equals the perimeter

    • B. 

      The longest side is less than its semiperimeter

    • C. 

      Sum of any two sides is less than the third

    • D. 

      Sum of any two sides equals the perimeter

  • 7. 
    Which of these lines is the longest in a right angle triangle?
    • A. 

      Arc

    • B. 

      Opposite

    • C. 

      Hypotenus

    • D. 

      Perpendicular

  • 8. 
    Which of these laws best explains triangle inequality?
    • A. 

      Cosine rule

    • B. 

      Sine rule

    • C. 

      Heron's formula

    • D. 

      Pythagorean theorem

  • 9. 
    What does φ stand for?
    • A. 

      Cofficient of hypotenus

    • B. 

      Constant

    • C. 

      Abstract constant

    • D. 

      Golden Ratio

  • 10. 
    Which of these represent common ratio?
    • A. 

      φ²

    • B. 

      √φ

    • C. 

      √φ+(φ)²

    • D. 

      √φ÷cφ