Inequalities in Triangles


Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

In triangle ABC, the length of AB is 7 and the length of AC is 10. Which of the following describes the length of BC?

Create Your Account To Take This Quiz

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Try it risk-free
Try it risk-free for 30 days. Cancel anytime
Already registered? Log in here for access

1. In the triangle below, XY = a and YZ > 9. Which of the following best describes XZ?

2. Given the triangles below, which of the following inequalities is most accurate?

Create your account to access this entire worksheet
A Premium account gives you access to all lesson, practice exams, quizzes & worksheets
Access to all video lessons
Quizzes, practice exams & worksheets
Certificate of Completion
Access to instructors
Create an account to get started Create Account

About This Quiz & Worksheet

This quiz/worksheet assessment tool allows you to quickly measure your knowledge of the Triangle Inequality Theorem. You must understand all aspect of this theorem and how to apply it in order to do well on this quiz.

Quiz & Worksheet Goals

This assessment is designed to measure your ability to:

  • Solve side length sample problems
  • Determine angle measurements for an equilaterial triangle
  • Answer questions based on given illustrations

Skills Practiced

  • Reading comprehension - ensure that you draw the most important information from the lesson, such as what the Triangle Inequality Theorem addresses
  • Critical thinking - apply relevant concepts to examine information about triangles in a different light
  • Problem solving - use acquired knowledge to solve triangle side length practice problems

Additional Learning

Learn more about this geometric topic by using the lesson titled Inequalities in Triangles. Details covered in this lesson include:

  • The meaning of the word 'congruent'
  • An overview of basic facts about triangles
  • What general conclusion is drawn about side lengths and angle measures of a triangle