Incircle area in 3-4-5 triangle?
Mathematical Visual Proofs
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I animate and provide some explanation for classic and newer "proofs without words," which are typically diagrams without any words that indicate how a theorem could be proved. I often pay homage to Proofs Without Words by including some animations without narration (only dramatic music :) ). I have also noticed that while there are many wonderful visual proofs available on YouTube, most of the creators do not credit the original visual proofs. I will do my best to include links and citations for each visual proof so that you can track down the original static images, which have a beauty and a wonder all their own. I create my animations using the amazing software Manimgl from 3Blue1Brown. If you want to buy me a coffee, you can do that here: https://www.buymeacoffee.com/VisualProofs
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Video Description
This short demonstrates an intriguing fact about the area of the incircle of the 3-4-5 right triangle. Using two different methods of computing the area of the 3-4-5 rectangle, we find that the inradius has a length of one so that the area of the incircle is Pi! To buy me a coffee, head over to https://www.buymeacoffee.com/VisualProofs Thanks! To see a related video, showing the general connection between the area of a triangle and the inradius, see https://youtu.be/lRDtdIyFhpE?si=QcluFxSoJzEZMcmR #manim #math #mathvideo #mathshorts #geometry #circle #triangle #animation #theorem #pww #proofwithoutwords #visualproof #proof #incircle #inradius #incircle #semiperimeter #incenter #pi #righttriangle #area To learn more about animating with manim, check out: https://manim.community
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