Difference between revisions of "Medians and centroid of a triangle"

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The median of a triangle is the line segment that joins the vertex to the midpoint of the opposite side of the triangle. The three medians of a triangle are concurrent in a point that is called the centroid. There is a special relationship that involves the line segments when all of the three medians meet. The distance from each vertex to the centroid is two-thirds of the length of the entire median drawn from that vertex.
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The centroid of a triangle is where the three medians intersect. This activity will show you how to find the centroid and you’ll explore several geometric relationships related to centroid and medians.
  
 
=== Objectives ===
 
=== Objectives ===

Revision as of 05:10, 2 May 2019

The centroid of a triangle is where the three medians intersect. This activity will show you how to find the centroid and you’ll explore several geometric relationships related to centroid and medians.

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 ?
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