# Medians and centroid of a triangle

From Karnataka Open Educational Resources

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

- Digital : Computer, geogebra application, projector.
- Non digital : Worksheet and pencil.
- Geogebra files : Concurrency of medians.ggb

Download this geogebra file from this link.

### Process (How to do the activity)

- The teacher can use this geogebra file to show how the position of centriod is constant in different triangles.

- Developmental Questions:

- Which type of triangle is this ?
- What is a median ?
- How do you identify the midpoint of the side ?
- Which is the point of concurrency of medians of the triangle ?
- Identify the position in different triangles.

- Evaluation:

- What is the position of centriod in different triangles ?

- Question Corner:

- Why do you think the centriod always remains in the centre for every type of triangle ?
- What does the centriod indicate ?
- What are the practical applications of the centriod ?