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Опубликовано: 06-02-2023 11:26:38
Find the length of the hypotenuse given its two acute angle bisectors have lengths of 9 and 8 root 2. It seems like it should be easy, but it is incredibly hard! Special thanks this month to: Robert Zarnke, Kyle, Lee Redden, Mike Robertson, Daniel Lewis. Thanks to all supporters on Patreon! http://www.patreon.com/mindyourdecisions
2016 UQ/QAMT Problem Solving Competition - Year 11 & 12 Paper, problem 5
https://www.maths.uq.edu.au/qamt/papers/Year11-12-2016-Paper.pdf
Trigonometry solutions
ridoy
https://twitter.com/ridoy56488732/status/1582843310405611520
Peter lee
https://twitter.com/t1234e5/status/1583355713014800384
Math StackExchange
https://math.stackexchange.com/questions/516166/find-hypotenuse-given-acute-angle-bisectors?rq=1
Algebra solution
https://twitter.com/t1234e5/status/1585268542621904896
Art of problem solving solution sketch (I could not fill in the details to find the solution)
https://artofproblemsolving.com/community/c4h2424928p19984969
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