How 9 Cheenta students ranked in top 100 in ISI and CMI Entrances?

# 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!

[/et_pb_text][et_pb_text _builder_version="4.0.6" text_font_size="18px" custom_padding="20px|30px|20px|30px|false|false" border_radii="on|5px|5px|5px|5px" box_shadow_style="preset1"]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.[/et_pb_text][et_pb_code _builder_version="4.0.7" custom_margin="20px||20px||false|false" hover_enabled="0"][h5p id="1"][/et_pb_code][et_pb_text _builder_version="3.27.4" text_font="Raleway|300|||||||" text_text_color="#ffffff" header_font="Raleway|300|||||||" header_text_color="#e2e2e2" background_color="#0c71c3" custom_margin="48px||48px" custom_padding="20px|20px|20px|20px" border_radii="on|5px|5px|5px|5px" box_shadow_style="preset3"]

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