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#1 2012-05-29 00:54:56

hammana
Member
Registered: 2012-03-02
Posts: 48

equilateral triangle inside a triangle

On 2012-04-05 at 13:38 in the "Help me" section the following was proposed

"Given an arbitrary triangle find the equilateral triangle circumscribed around the original one such that the area of that equilateral triangle is maximized"

I am proposing the dual problem, by replacing "circumscribed around" by "inscribed inside" and " maximized" by "minimized"

Last edited by hammana (2012-05-29 00:57:20)

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#2 2012-05-29 01:04:37

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,431

Re: equilateral triangle inside a triangle

Is that the one I posted? I think so.


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#3 2012-05-29 08:46:29

hammana
Member
Registered: 2012-03-02
Posts: 48

Re: equilateral triangle inside a triangle

Hi anonimnystefy

that is right, your problem inspired this one, their solutions are quite similar.

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#4 2012-05-29 09:14:32

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,431

Re: equilateral triangle inside a triangle

Ok. I will try this one.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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