As performed in real lab:
Materials required:
Coloured paper, pencil, a pair of scissors, gum.
Procedure:
From a sheet of paper, cut out three types of triangle: acuteangled triangle, rightangled triangle and obtuseangle triangle.
For an acuteangled triangle, find the midpoints of the sides by bringing the corresponding two vertices together. Make three folds such that each Joins a vertex to the midpoint of the opposite side. [Fig (a)]
Repeat the same activity for a rightangled triangle and an obtuseangled triangle. [Fig (b) and Fig (c)]
Acuteangled(a)
Rightangled(b)
Obtuseangled(c)
As performed in the simulator:
Create a triangle ABC by providing three points A, B and C over the workbench.
Draw the midpoints of each line segment.
Click on each midpoints to draw their respective bisector lines.
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.
1 videos228 docs21 tests

1. What is the definition of a centroid in a triangle? 
2. How many medians does a triangle have? 
3. Why do the medians of a triangle concur at a point? 
4. What is the significance of the centroid in a triangle? 
5. How can the centroid of a triangle be determined? 
1 videos228 docs21 tests


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