# Medians and centroid of a triangle

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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

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

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

### 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 ?