I have just found this problem in "cut the knot". Its quite interesting. Here it is,
Prove that "The three points of intersection of the adjacent trisectors of the angles of any triangle form an equilateral triangle."
Morley's Miracle
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Tahmid Hasan
- Posts:665
- Joined:Thu Dec 09, 2010 5:34 pm
- Location:Khulna,Bangladesh.
Re: Morley's Miracle
Here is the diagram. Sorry I didn't attach it at first
- Attachments
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- Angle A,B,C are trisected and you have to prove Triangle DEF is equilateral
- MORLEY'S MIRACLE.png (93.52KiB)Viewed 4684 times
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samiul mushfik
- Posts:1
- Joined:Sun Feb 27, 2011 9:31 pm
Re: Morley's Miracle
what is the periodicity law of trigonometry
Re: Morley's Miracle
Samiul:
Why don't you post your problem in a separate post? Your post has nothing to do with Morley's Theorem, right?
Anyway welcome to the forum. Please read the forum descriptions and forum guide before posting.
Why don't you post your problem in a separate post? Your post has nothing to do with Morley's Theorem, right?
Anyway welcome to the forum. Please read the forum descriptions and forum guide before posting.
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
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tarek like math
- Posts:56
- Joined:Fri Feb 18, 2011 11:30 pm
Re: Morley's Miracle
angle <F= 2c/3 +2a/3 +<AEF + <CDF -180
now if any one can prove that, 2a/3 + <AEF + < CDF -180 = c/3 ,
then <F = <c
now if any one can prove that, 2a/3 + <AEF + < CDF -180 = c/3 ,
then <F = <c