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ABCD is a square; AB=1; find a green/yellow ratio of areas.

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stolyar
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ABCD is a square; AB=1; find a green/yellow ratio of areas. [#permalink] New post   06 Nov 2003, 06:15
ABCD is a square; AB=1; find a green/yellow ratio of areas.
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Re: ABCD is a square; AB=1; find a green/yellow ratio of areas. [#permalink] New post   06 Nov 2003, 06:18
assuming be=ec ratio would be 1:1
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Re: ABCD is a square; AB=1; find a green/yellow ratio of areas. [#permalink] New post   06 Nov 2003, 07:09
I say 1:1 too. Can't exactly be sure though. If had to put my money on it then I'd pick 1:1.

On a side note, the length of any side given is really of no use here since we know this is a square. But works as a good distraction! :-D
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stolyar
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Re: ABCD is a square; AB=1; find a green/yellow ratio of areas. [#permalink] New post   06 Nov 2003, 12:29
1:1 is correct. Both triangles have equal bases and equal heights.
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Re: ABCD is a square; AB=1; find a green/yellow ratio of areas. [#permalink] New post   07 Nov 2003, 18:33
stoylar...how do we know that both triangles have the same bases/heights....i can see the heights (b/c its just one side of the square), but how do we know that the bases are the same??
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Re: ABCD is a square; AB=1; find a green/yellow ratio of areas. [#permalink] New post   19 Nov 2003, 18:05
The question should have said that E is the midpoint of BC.

Then the heights for both = DC equal.
Since E=BE =1/2, bases are equal in length (not the same though)

Also it would be good to remember that a median always divides the triangle into 2 parts having the same area. It's easy to remember since area = 1/2*base.height. For the two triangles height will remain the same as the original triangle and the base will be 1/2 of the original triangle.

guy123 wrote:
stoylar...how do we know that both triangles have the same bases/heights....i can see the heights (b/c its just one side of the square), but how do we know that the bases are the same??
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Re: ABCD is a square; AB=1; find a green/yellow ratio of areas. [#permalink] New post   23 Nov 2003, 20:15
stolyar wrote:
ABCD is a square; AB=1; find a green/yellow ratio of areas.
30 seconds...


stolyar,

how do we know that E is the midpoint of BC?

can you explain

Great question!

thanks
praetorian



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Re: ABCD is a square; AB=1; find a green/yellow ratio of areas. [#permalink]
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