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EachРActivity 1 : Draw a triangle ABC. Draw mediansAD, BE and CF of the triangle. Let their point ofconcurrence be G, which is called the centroid ofthe triangle. Compare the lengths of AG and GDwith a divider. Verify that the length of AG is twicethe length of GD. Similarly, verify that the length ofBG is twice the length of GE and the length of CGis twice the length of GF. Hence note the followingproperty of medians of a triangle of a triangle.Fig. 3.33The point of concurrence of medians of a triangle divides each median in the ratio 2:1Activity II: Draw a triangle ABC on a card​

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Answer:

The three medians of a triangle are concurrent at the centroid, or the CENTER of gravity. This POINT of CONCURRENCY DIVIDES the length of each median in a ratio of 2:1; the length from the vertex to the centroid is TWICE the length from the centroid to the midpoint of the other side.

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