What is the area of the red stripes

This is a brilliantly fun geometry problem! 0:00 problem 1:00 similar triangles 3:00 solution References Similar triangles area (Math StackExchange) https://math.stackexchange.com/questions/1588290/similar-triangles-are-to-one-another-in-the-squared-ratio-of-their-correspondi Euclid similar triangles (book of proofs) https://www.bookofproofs.org/branches/ratio-of-areas-of-similar-triangles/#fn194561578060cbf2cfd1d1e Euclid similar triangles (Clark University) https://mathcs.clarku.edu/~ djoyce/java/elements/bookVI/propVI19.html Triangle problem on Scholr https://www.scholr.com/community/question/this-triangle-is-divided-into-nine-paral/258271/ Triangle problem on Quora https://www.quora.com/A-triangle-is-divided-into-nine-stripes-of-equal-height-each-parallel-to-the-same-side-of-the-triangle-The-shaded-stripes-have-a-total-area-of-135-square-units-What-is-the-area-of-the-triangle-in-square-units Triangle problem on Purple Comet! Math Meet April 2018 (problem 10) https://purplecomet.org/views/data/2018MSSolutions.pdf Triangle problem on Brilliant (google webcache) https://webcache.googleusercontent.com/search?q=cache:PkdxZ-R8DeUJ:https://brilliant.org/weekly-problems/2018-08-06/basic/+&cd=7&hl=en&ct=clnk&gl=us Subscribe: /user/MindYourDecisions Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas! If you buy from the links below I may receive a commission for sales. (As an Amazon Associate I earn from qualifying purchases.) This has no effect on the price for you. Book ratings are from June 2021. My Books (worldwide links) https://mindyourdecisions.com/blog/my-books/#worldwide My Books (US links) Mind Your Decisions: Five Book Compilation https://amzn.to/2pbJ4wR A collection of 5 books: "The Joy of Game Theory" rated 4.2/5 stars on 200 reviews http://amzn.to/1uQvA20 "The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4/5 stars on 17 reviews http://amzn.to/1o3FaAg "40 Paradoxes in Logic, Probability, and Game Theory" rated 4.1/5 stars on 30 reviews http://amzn.to/1LOCI4U "The Best Mental Math Tricks" rated 4.2/5 stars on 57 reviews http://amzn.to/18maAdo "Multiply Numbers By Drawing Lines" rated 4.1/5 stars on 23 reviews http://amzn.to/XRm7M4 Mind Your Puzzles: Collection Of Volumes 1 To 3 https://amzn.to/2mMdrJr A collection of 3 books: "Math Puzzles Volume 1" rated 4.4/5 stars on 75 reviews http://amzn.to/1GhUUSH "Math Puzzles Volume 2" rated 4.3/5 stars on 21 reviews http://amzn.to/1NKbyCs "Math Puzzles Volume 3" rated 4.3/5 stars on 17 reviews http://amzn.to/1NKbGlp 2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter. My Blog https://mindyourdecisions.com/blog/ Twitter https://twitter.com/preshtalwalkar Merch https://teespring.com/stores/mind-your-decisions Patreon https://www.patreon.com/mindyourdecisions Press https://mindyourdecisions.com/blog/press

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