Rashmi Kathuria’s Hands on Math Class mathclass_khms@yahoo.co.in
Median of a triangle is a line segment joining vertex to the mid point of opposite side. There are three medians in a triangle. All medians intersect at a common point called centroid. The centroid always lies in the interior of triangle. Aim: To verify medians of a triangle concur at a point called centroid which always lies in the interior of the triangle by paper folding. Material required: Coloured paper, pair of scissors, ruler, and stapler. Procedure: 1. Take a coloured paper and draw any triangle ABC. Cut the triangle.
2. To get the mid point of BC , fold along BC ,such that , B coincides with C .
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Rashmi Kathuria’s Hands on Math Class mathclass_khms@yahoo.co.in
3. Unfold and mark the mid- point of BC as M.
4. Form a crease joining AM.
(AM is a median)
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Rashmi Kathuria’s Hands on Math Class mathclass_khms@yahoo.co.in
5. Similarly get medians BN and CP by paper folding. What do you observe?
6. Repeat the activity for two more triangles. Note : The centroid divides each median in the ratio 2:1 Observations: 1. All the medians intersect at a common point called centroid. 2. In all types of triangles, centroid is located in the interior of triangle. Result : It is verified that the medians of a triangle concur at a point called centroid which always lie in the interior of triangle. Answer the following: 1. What is a median. 2. How many medians are there in a triangle? 3. What is centroid? 4. Write the property of centroid.
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