Triangle geometry
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In triangle ABC D,E,F are three points on BC,CA,AB respectively such that AE:EC=1:3, DC:DB=2:1, BF:FA=3:2, after attaching D,E,F with "shirshobindu" of opposite side, there creates another triangle HIG in the middle. what is the area of triangle HIG
Re: Triangle geometry
Do you want to mean "Joining $AD,BE,CF$"?
Then, they intersect at a single point, no triangle comes out. [If I don't miss anything]
Then, they intersect at a single point, no triangle comes out. [If I don't miss anything]
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Re: Triangle geometry
Using ceva's theorem answer came 0.
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Re: Triangle geometry
i think it was 2017 BdMO regional qustion
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Re: Triangle geometry
Yes and it is discussed before in this forum.
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Re: Triangle geometry
This is BdMO Mymensingh regional 2017 secondary problem 3.MD ADNAN RAHMAN wrote: ↑Sun Dec 10, 2017 4:17 pmIn triangle $ABC$. $D,E,F$ are three points on $BC,CA,AB$ respectively such that $AE:EC=1:3$, $DC:DB=2:1$,$ BF:FA=3:2$, after attaching $D,E,F$ with "shirshobindu" of opposite side, there creates another triangle $HIG$ in the middle. what is the area of triangle $HIG$?
Given diagram in the question: