Four Triangles: Which is Largest? (visual proof)

This is a short, animated visual proof demonstrating a surprising relationship between three triangles created in a special way from a given fourth triangle.

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For similar visual proofs see:

   • Arbelos Area (visual proof)  
   • Shaded Area in Regular Hexagon? (visu...  
   • Area of an interior hexagon (visual p...  
   • What fraction is shaded?  

This animation is based on a visual proof from Steven Snover that appeared in Roger B. Nelsen's second Proofs without Words Compendium (page 15).

To learn more about animating with manim, check out:
https://manim.community

#mathshorts​ #mathvideo​ #math​ #triangle #area #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #geometry #algebra #inequality

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Music in this video
Til Death Parts Us by Aakash Gandhi