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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=== Objectives === | === Objectives === | ||
To introduce medians of a triangle and their point of concurrence. | To introduce medians of a triangle and their point of concurrence. |
Revision as of 10:23, 29 April 2019
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.
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)
- 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 ?