Centroid of a triangle

## As performed in real lab:

### Materials required:

Coloured paper, pencil, a pair of scissors, gum.

### Procedure:

1. From a sheet of paper, cut out three types of triangle: acute-angled triangle, right-angled triangle and obtuse-angle triangle.
2. For an acute-angled triangle, find the mid-points of the sides by bringing the corresponding two vertices together. Make three folds such that each Joins a vertex to the mid-point of the opposite side. [Fig (a)]
3. Repeat the same activity for a right-angled triangle and an obtuse-angled triangle. [Fig (b) and Fig (c)]   Acute-angled(a)                  Right-angled(b)                             Obtuse-angled(c)

## As performed in the simulator:

1. Create a triangle ABC by providing three points A, B and C over the workbench.
2. Draw the mid-points of each line segment.
3. Click on each mid-points to draw their respective bisector lines.
4. You can see, Centroid lies inside the triangle for all acute angled, obtuse angled & right angled triangle.

## Observations:

• The students observe that the three medians of a triangle concur.
• They also observe that the centroid of an acute, obtuse or right angled triangle always lies inside the triangle.   