find the longer line segment

The area of a triangle is trisected (divided to three parts with equal areas)
by line segments parallel to one side. If the length of the side is 12, then
find the length of the longer of the line segme
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1 Answer

yu get 1/3 area av triangel bi draw line parallel tu base

That meen hav 2/3 av area abuv yer line.  Triangel abuv this line has same shape as start triangel.

Area=(1/2)hite*base=(2/3) start area

Thus, top triangel hite=sqrt(2/3)*(hite av start triangel).   Same for base leng.

Tu get hite av bottom pees...[1-sqrt(2/3)]* hite av start triangel

???????? wot "longer line segment" ??????????
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