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eroshea
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A regular hexagon A has the midpoints of its edges joined to form a smaller hexagon B. This process is repeated by joining the midpoints of the edges of the hexagon B to get a third hexagon C. What is the ratio of the area of hexagon C to the area of hexagon A?
 2 years ago
 2 years ago
eroshea Group Title
A regular hexagon A has the midpoints of its edges joined to form a smaller hexagon B. This process is repeated by joining the midpoints of the edges of the hexagon B to get a third hexagon C. What is the ratio of the area of hexagon C to the area of hexagon A?
 2 years ago
 2 years ago

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hartnn Group TitleBest ResponseYou've already chosen the best response.1
Each smaller hexagon formed will have side length equal to 0.866(half times square root of 3)times the length of its previous hexagon
 2 years ago

eroshea Group TitleBest ResponseYou've already chosen the best response.0
how did you get that?
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
dw:1350381371686:dw
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
sorry for bad drawing, but could u get the side of smaller hex from that ?
 2 years ago

eroshea Group TitleBest ResponseYou've already chosen the best response.0
it's fine.. i'll analyze it for a while
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
dw:1350381577682:dw
 2 years ago

eroshea Group TitleBest ResponseYou've already chosen the best response.0
what was that d/2 ??
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
yes, d/2 or u asked , why was that d/2 ?
 2 years ago

eroshea Group TitleBest ResponseYou've already chosen the best response.0
i meas WHAT is that d/2? where did you get it? sorry but i find solid mensuration and geometry hard ..
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
d is the side of smaller hexagon , so the length i have marked here will be d/2 dw:1350381918942:dw
 2 years ago

eroshea Group TitleBest ResponseYou've already chosen the best response.0
ahh.. got it.. i was confused from that equation :D
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
so u will have ratio of sides, know how to find ratio of areas ?
 2 years ago

eroshea Group TitleBest ResponseYou've already chosen the best response.0
no, i don't
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
(ratio of sides)^2 = ratio of areas ALWAYS.
 2 years ago

eroshea Group TitleBest ResponseYou've already chosen the best response.0
owh.. so like the equation on how i got the corresponding sides of the 2 triangles? ok.. got it.. i'll just now solve for the sides of the hexagon C
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
yes, find the ratio of sides of hex A and hex C.
 2 years ago

eroshea Group TitleBest ResponseYou've already chosen the best response.0
9/16 ?? ahm.. is it??
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
9/16 is ratio of areas
 2 years ago

eroshea Group TitleBest ResponseYou've already chosen the best response.0
i thought i was wrong :D that problem is complicated for me. thanks for the help man! :))
 2 years ago
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