Inequalities in One Triangle


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question 1 of 3

According to the Greatest Angle and Greatest Side Theorem, which of the following statements are TRUE?

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1. State the Triangle Inequality Theorem.

2. If a triangle has side lengths a, b, and c, which of the following statements must be TRUE?

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About This Quiz & Worksheet

The worksheet/quiz combo is available to help you see what you know about inequalities in one triangle. Different triangle theorems are covered on the quiz.

Quiz & Worksheet Goals

Using these tools, you can check your understanding of:

  • An upper bound for the length of a side of a given triangle
  • The Triangle Inequality Theorem
  • Greatest Angle and Greatest Side Theorem

Skills Practiced

  • Information recall - access the knowledge you have gained about using the Greater Angle and Greatest Side Theorem to determine the longest side of the triangle
  • Reading comprehension - ensure that you draw the most important information from the lesson on 1-triangle inequalities
  • Interpreting information - verify that you can read information about how to use the Triangle Inequality Theorem and interpret it correctly
  • Problem solving - use what you've learned to solve practice problems that involve finding the length of a triangle side

Additional Learning

You can review more topics by using the lesson called Inequalities in One Triangle. Use this lesson any time to:

  • Determine what a triangle is
  • See when the Greatest Angle and Greatest Side Theorem is useful
  • Figure out how to examine the angles and sides of a triangle