Paper folding geometry in ISI Entrance

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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?

Tutorial Problems!
  • Show that in an equilateral triangle circumcenter is the same as the centroid.
  • Show that the centroid divides the median into a 2:1 ratio.
  • Use GeoGebra to construct a model of this hexagonal figure (found after folding).
  • 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.
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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