Applying Inequalities to Triangles


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question 1 of 3

Triangles CBD and CAE are similar. Which of the following side lengths is greatest?

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1. Fill in the blank: Segment BD ____ segment CD

2. The two triangles shown are similar. Y is greater than x. Fill in the blank: angle a ____ 40 degrees.

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About This Quiz & Worksheet

This quiz and worksheet assessment allows you to quickly measure what you know about inequalities and triangles. You will be tested mostly on your ability to answer questions and solve problems based on given images.

Quiz & Worksheet Goals

This assessment will check your ability to do the following:

  • Tell which side length is greatest on two given triangles
  • Solve given triangle inequality problems
  • State what is true about the measure of the angle opposite the longest side of a triangle compared to the measure of the angle opposite the shortest side

Skills Practiced

  • Critical thinking - apply relevant concepts to examine information about inequalities in a different light
  • Problem solving - use acquired knowledge solve triangle inequality practice problems
  • Information recall - access the knowledge you've gained regarding the measurement of angles opposite the longest and shortest sides of a triangle

Additional Learning

Get more details by reviewing the lesson titled Applying Inequalities to Triangles. This lesson focuses on the following:

  • What is true about the relationships between the sides and angles of any triangle
  • What is true about similar triangles
  • How to apply what you know to figure out problems relating to inequality in triangles