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myininaya
 2 years 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?
myininaya
 2 years 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?

This Question is Closed

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1381254913806:dw

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

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

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.2I 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.

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.0sure...by induction...this being the basis step (or one vertex more than the basis step)

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.0Hopefully a student will drop in and try it. :)

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0im kinda wondering what "messing with the given polygon" might be defined as. I tried yelling at it, but not too sure if that worked :)

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.2Well what was the reaction?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0it 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.

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.2Yep, it wasn't suppose to react that way to that kinda messing.

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0kids these days, they just cant be trusted lol

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.2Is the polygon a kid, now?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0it 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.

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0did i mention, my daughter is living with me now? ;)

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.2So you have a polygon living with you?

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

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0a 3 sided polygon that is disguising itself as a 5 sided poly of indeterminable area. We are in flatland right?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0all these polys look the same to me :)

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1guess i found a method, il wait for others to try proly

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0my method is patent pending .. so no stealing it!!

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.2What kinda straight lines are you talking about exactly?

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1was 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.

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1381318076833:dw

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1381318112397:dw Let m and l be parallel.

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

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