As performed in real lab:
Coloured paper, pencil, a pair of scissors, gum.
- From a sheet of paper, cut out three types of triangle: acute-angled triangle, right-angled triangle and obtuse-angle triangle.
- 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)]
- 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:
- Create a triangle ABC by providing three points A, B and C over the workbench.
- Draw the mid-points of each line segment.
- Click on each mid-points to draw their respective bisector lines.
- You can see, Centroid lies inside the triangle for all acute angled, obtuse angled & right angled triangle.
- 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.