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#1 2012-05-31 04:39:56

anonimnystefy
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Biggest triangle in a cube

Find the area of the largest triangle that can be inscribed into a cube of side a.

Similarly: Find the area of the largest equilateral triangle that can be inscribed in a cube of side a.

Last edited by anonimnystefy (2012-05-31 04:43:04)


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#2 2012-07-07 07:59:36

anonimnystefy
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Re: Biggest triangle in a cube

Nothing, ha?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#3 2012-07-07 17:30:25

bob bundy
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Re: Biggest triangle in a cube

hi Stefy,

I must have been busy on 30th May.

I offer the solution to part two in the diagram below.  The area is easily worked out using half ABsinC and Pythag.

I suspect it is also the answer to part one.

Bob


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You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
 

#4 2012-07-07 23:39:03

anonimnystefy
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Re: Biggest triangle in a cube

Do you have a proof that is the solution?

Last edited by anonimnystefy (2012-07-08 07:25:07)


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#5 2012-07-08 06:27:18

bob bundy
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Re: Biggest triangle in a cube

In a word, No.

Do you?

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
 

#6 2012-07-08 07:24:56

anonimnystefy
Real Member

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Re: Biggest triangle in a cube

Nope. I will try to think of something.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

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