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Curry’s Paradox (version 3)! Explore here: & GeoGebra #MTBoS #ITeachMath #geometry #geomchat
82,587 Aufrufe • vor 3 Jahren •via X (Twitter)
11 Kommentare

@geogebra Those are not real triangles. The hypotenuse is not a straight line. Check the slopes of the hypotenuse of the Red and the Orange triangles. Orange slope = 6/11 Red slope = 5/9

@geogebra Good observation! 👍

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@geogebra Explanation as a student project

@geogebra My math teacher would say “a graph is not a proof, you have to rely on equations”

@geogebra This video is amazing! Can I ask what software you used? I wanted to do something similar in this video , but I couldn't manage to do anything as nice as this.

@geogebra Thank you for your kind words. I used @geogebra to make it.

@geogebra In made grid, triangle & copy; partitions & fills for bottom triangle. Used 'magic wand' to copy fills. Pasted copied triangular regions into top figure, aligning to avoid whitespace between triangle edges. Copied, rotated rectangular regions. (cont...)

@geogebra The hypotenuse of the large triangle cannot be a straight line, as acute angle of the smaller orange triangle is 29.0' while that of the yellow triangle is 28.6'. Thus the hypotenuse is bent inward in the first configuration, then bent outward in the second.

@geogebra @memdotai mem it

@geogebra @Gilmore_EDU this seems up your alley!!
