Understand the problem
Consider a paper in the shape of an equilateral triangle ABC with circumcenter O and perimeter 9 units, If we fold the paper in such a way that each of the vertices A, B, C gets identified with O then the area of the resulting shape in the square is how much?
2. Show that the centroid divides the median into a 2:1 ratio.
3. Use GeoGebra to construct a model of this hexagonal figure (found after folding).
4. Similar problem
A square sheet of paper ABCD is so folded that B falls on the mid-point of M of CD. Prove that the crease will divide BC in the ratio 5:3.
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