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Fun Geometry Question:
If given the following 5sided polygon with area A units squared, can you find a 3sided polygon having the same area by messing with the given polygon?
 6 months ago
 6 months ago
Fun Geometry Question: If given the following 5sided polygon with area A units squared, can you find a 3sided polygon having the same area by messing with the given polygon?
 6 months ago
 6 months ago

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myininayaBest ResponseYou've already chosen the best response.2
dw:1381254913806:dw
 6 months ago

ZarkonBest ResponseYou've already chosen the best response.0
do I give away the answer...or just wait for someone else to figure it out :)
 6 months ago

myininayaBest ResponseYou've already chosen the best response.2
If you want someone else to discover it, then I guess we wait.
 6 months ago

myininayaBest ResponseYou've already chosen the best response.2
I had to play a little with it, but it looks like we can do the same process for any convex ngon to any convex (nk)gon.
 6 months ago

ZarkonBest ResponseYou've already chosen the best response.0
sure...by induction...this being the basis step (or one vertex more than the basis step)
 6 months ago

ZarkonBest ResponseYou've already chosen the best response.0
Hopefully a student will drop in and try it. :)
 6 months ago

amistre64Best ResponseYou've already chosen the best response.0
im kinda wondering what "messing with the given polygon" might be defined as. I tried yelling at it, but not too sure if that worked :)
 6 months ago

myininayaBest ResponseYou've already chosen the best response.2
Well what was the reaction?
 6 months ago

amistre64Best ResponseYou've already chosen the best response.0
it recoiled in horror and confessed to being a three sided equiareal assessment. I then gave it a cookie and we watched NCIS together, but on mute.
 6 months ago

myininayaBest ResponseYou've already chosen the best response.2
Yep, it wasn't suppose to react that way to that kinda messing.
 6 months ago

amistre64Best ResponseYou've already chosen the best response.0
kids these days, they just cant be trusted lol
 6 months ago

myininayaBest ResponseYou've already chosen the best response.2
Is the polygon a kid, now?
 6 months ago

amistre64Best ResponseYou've already chosen the best response.0
it might as well be .... if it sits there and argues with you and spews lies at every given moment, then it has to be a kid that spends all day sitting on the couch eating the chicken potpies straight out of the freezer.
 6 months ago

amistre64Best ResponseYou've already chosen the best response.0
did i mention, my daughter is living with me now? ;)
 6 months ago

myininayaBest ResponseYou've already chosen the best response.2
So you have a polygon living with you?
 6 months ago

myininayaBest ResponseYou've already chosen the best response.2
Just remember you cannot enter into a polygon. There is no opening. You can not hop into it.
 6 months ago

amistre64Best ResponseYou've already chosen the best response.0
a 3 sided polygon that is disguising itself as a 5 sided poly of indeterminable area. We are in flatland right?
 6 months ago

amistre64Best ResponseYou've already chosen the best response.0
all these polys look the same to me :)
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
guess i found a method, il wait for others to try proly
 6 months ago

amistre64Best ResponseYou've already chosen the best response.0
my method is patent pending .. so no stealing it!!
 6 months ago

myininayaBest ResponseYou've already chosen the best response.2
What kinda straight lines are you talking about exactly?
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
was saying in amistre's flatland its all straight lines he sees.. he may not even see polys :) solution looks too simple after letting it settle in my head a bit... its just to do with making few constructions to straighten up multiple sides.
 6 months ago

myininayaBest ResponseYou've already chosen the best response.2
dw:1381318076833:dw
 6 months ago

myininayaBest ResponseYou've already chosen the best response.2
dw:1381318112397:dw Let m and l be parallel.
 6 months ago

myininayaBest ResponseYou've already chosen the best response.2
dw:1381318171834:dw Now we have a 4gon with the same area as that 5gon we started out with.
 6 months ago

myininayaBest ResponseYou've already chosen the best response.2
You can do this transaction one more time to get it down to a 3gon with the same area as the 5 or 4gon.
 6 months ago
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