A kite is placed in a square, can you figure out one of its angles? I made a video for this "impossibly hard" problem from a New Zealand maths exam. But it turned out my proof had a flaw, which some of you pointed out in the comments! It turns out the problem still has the same answer which is interesting. So in this video I correct the flaw and show a correct proof. I also give another way to find the answer which is elegant in its own right, suggested by another comment.

Blog post for this video
https://wp.me/p6aMk5nY

Original video with flawed proof
   • "Impossible" Math Problem Leaves 15 Y...  

Diagram from Christopher Night showing diagonals are not equal to the sides
https://imgur.com/qJxdwXW

Thanks to comments from:
Christopher Night
   • "Impossible" Math Problem Leaves 15 Y...  

Steve's Mathy Stuff
   • "Impossible" Math Problem Leaves 15 Y...  

Joseph Lombardo
   • "Impossible" Math Problem Leaves 15 Y...  

Ali A
   • "Impossible" Math Problem Leaves 15 Y...  

Thanks to all patrons! Special thanks to:
Shrihari Puranik
Kyle

I made another video for this exam about the parabola problem:    • "Impossible" problem leaves students ...  

If you like my videos, you can support me at Patreon:
  / mindyourdecisions  

Connect on social media. I update each site when I have a new video or blog post, so you can follow me on whichever method is most convenient for you.

My Blog: https://mindyourdecisions.com/blog/
Twitter:   / preshtalwalkar  
Facebook:   / 168446714965  
Google+: https://plus.google.com/1083366085665...
Pinterest:   / preshtalwalkar  
Tumblr:   / preshtalwalkar  
Instagram:   / preshtalwalkar  
Patreon:   / mindyourdecisions  

Newsletter (sent about 2 times a year): http://eepurl.com/KvS0r

If you buy from the links below I may receive a commission for sales. This has no effect on the price for you.

My Books
"The Joy of Game Theory" shows how you can use math to outthink your competition. (rated 3.8/5 stars on 31 reviews)
http://amzn.to/1uQvA20

"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" is a handbook that explains the many ways we are biased about decisionmaking and offers techniques to make smart decisions. (rated 5/5 stars on 2 reviews)
http://amzn.to/1o3FaAg

"Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.4/5 stars on 13 reviews.
http://amzn.to/1GhUUSH

"Math Puzzles Volume 2" is a sequel book with more great problems. (rated 5/5 stars on 3 reviews)
http://amzn.to/1NKbyCs

"Math Puzzles Volume 3" is the third in the series. (rated 3.8/5 stars on 4 reviews)
http://amzn.to/1NKbGlp

"40 Paradoxes in Logic, Probability, and Game Theory" contains thoughtprovoking and counterintuitive results. (rated 4.3/5 stars on 12 reviews)
http://amzn.to/1LOCI4U

"The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head (rated 4.7/5 stars on 4 reviews)
http://amzn.to/18maAdo

"Multiply Numbers By Drawing Lines" This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 5/5 stars on 3 reviews)
http://amzn.to/XRm7M4