Brainliest & 60 points: i think this question is pretty easy but i can't seem to get the length of a side of a triangle is 36. a line parallel to that side divides the triangle into two equal area parts. find the length of the segment portion of the line cut by the other two sides.

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

its a straight line parallel to the time axis