Medians and centroid of a triangle

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Objectives

To introduce medians of a triangle and their point of concurrence.

Estimated Time

30 minutes

Prerequisites/Instructions, prior preparations, if any

Types of triangles, their medians and their constructions should have been covered.

Materials/ Resources needed

This geogebra file has been done by ITfC- Edu- Team

Process (How to do the activity)

  1. The teacher can use this geogebra file to show how the position of centriod is constant in different triangles.
  • Developmental Questions:
  1. Which type of triangle is this ?
  2. What is a median ?
  3. How do you identify the midpoint of the side ?
  4. Which is the point of concurrency of medians of the triangle ?
  5. Identify the position in different triangles.
  • Evaluation:
  1. What is the position of centriod in different triangles ?
  • Question Corner:
  1. Why do you think the centriod always remains in the centre for every type of triangle ?
  2. What does the centriod indicate ?
  3. What are the practical applications of the centriod ?