# 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!

1. Show that in an equilateral triangle circumcenter is the same as the centroid. 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.

**You may send solutions to support@cheenta.com. Though we usually look into internal students work, we will try to give you some feedback.**# Now watch the discussion video

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#### Math Olympiad Program

Math Olympiad is the greatest and most challenging academic contest for school students. Brilliant school students from over 100 countries participate in it every year. Cheenta works with small groups of gifted students through an intense training program. It is a deeply personalized journey toward intellectual prowess and technical sophistication.

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