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Paper folding geometry in ISI Entrance

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Understand the problem

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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?

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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"]

Now watch the discussion video

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Subscribe to Cheenta's youtube channel

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Connected Program at Cheenta

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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.[/et_pb_blurb][et_pb_button button_url="https://www.cheenta.com/matholympiad/" url_new_window="on" button_text="Learn More" button_alignment="center" _builder_version="3.23.3" custom_button="on" button_bg_color="#0c71c3" button_border_color="#0c71c3" button_border_radius="0px" button_font="Raleway||||||||" button_icon="%%3%%" background_layout="dark" button_text_shadow_style="preset1" box_shadow_style="preset1" box_shadow_color="#0c71c3"][/et_pb_button][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="50px||50px" custom_padding="20px|20px|20px|20px" border_radii="on|5px|5px|5px|5px" box_shadow_style="preset3"]

Similar Problems

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