Brocard Diameter: Definition & Formula


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question 1 of 3

Which of the following statements about triangle geometry is NOT true?

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1. What is the Brocard diameter of a triangle?

2. What is the formula for the length of the Brocard diameter of a triangle with side lengths a, b, and c, and circumradius R?

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About This Quiz & Worksheet

The Brocard diameter is part of a triangle, and these multiple-choice questions will assess how much you know about it. Topics include the characteristics of triangle geometry and an explanation of the Brocard diameter.

Quiz & Worksheet Goals

You'll be covering the following areas on the quiz:

  • Formula for the length of the Brocard diameter of a triangle where a, b, and c are the side lengths and R is the circumradius
  • Length of the Brocard diameter in a triangle with a circumradius of 5 inches
  • Brocard diameter of a triangle with three given side lengths

Skills Practiced

  • Defining key concepts - make sure you can accurately define the Brocard diameter of a triangle
  • Problem solving - use acquired knowledge to solve Brocard diameter practice problems that involve finding the length
  • Information recall - access the knowledge you've gained regarding triangle geometry attributes

Additional Learning

For more on triangles, consider the lesson named Brocard Diameter: Definition & Formula. These areas will be discussed in greater detail:

  • Median of a triangle
  • Angle bisectors
  • Symmedian and symmedian point
  • Brocard circle