Question

take paper cut outs of right angled triangle and obtuse angled triangle and find their centroid
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Answer 1

Answer:

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Answer 2

Answer:

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: 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.

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.